Publications for Vladimir Mazya
Co-author map based on ISI articles 2007-
Keywords
values systems spaces solutions sobolev sharp regularity problems potentials functions estimates equations elliptic domains differential condition coefficient boundary asymptotic approximations
Journal Articles
Vladimir Mazya, A. B. Movchan and M. J. Nieves
MESOSCALE MODELS AND APPROXIMATE SOLUTIONS FOR SOLIDS CONTAINING CLOUDS OF VOIDS
Multiscale Modeling & simulation, 2016, 14(1), 138-172.
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Andrea Cianchi and Vladimir Mazya
Sobolev inequalities in arbitrary domains
Advances in Mathematics, 2016, 293, 644-696.
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Andrea Cianchi and Vladimir Maz´ya
GLOBAL GRADIENT ESTIMATES IN ELLIPTIC PROBLEMS UNDER MINIMAL DATA AND DOMAIN REGULARITY
Communications on Pure and Applied Analysis, 2015, 14(1), 285-311.
Web of Science® Times Cited: 2 |
Anthony Carbery, Vladimir Maz'ya, Marius Mitrea and David Rule
The integrability of negative powers of the solution of the Saint Venant problem
Annali della Scuola Normale Superiore di Pisa (Classe Scienze), Serie V, 2014, XIII(2), 465-531.
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F Lanzara, Vladimir Maz´ya and G Schmidt
Fast cubature of volume potentials over rectangular domains by approximate approximations
Applied and Computational Harmonic Analysis, 2014, 36(1), 167-182.
Web of Science® Times Cited: 1 |
Svitlana Mayboroda and Vladimir Maz´ya
Regularity of solutions to the polyharmonic equation in general domains
Inventiones Mathematicae, 2014, 196(1), 0464.
Web of Science® Times Cited: 1 |
Andrea Cianchi and Vladimir Maz´ya
Global Boundedness of the Gradient for a Class of Nonlinear Elliptic Systems
Archive for Rational Mechanics and Analysis, 2014, 212(1), 129-177.
Web of Science® Times Cited: 10 |
Andrea Cianchi and Vladimir Maz´ya
Gradient regularity via rearrangements for p-Laplacian type elliptic boundary value problems
Journal of the European Mathematical Society (Print), 2014, 16(3), 571-595.
Web of Science® Times Cited: 6 |
Andrea Cianchi and Vladimir Maz´ya
Bounds for eigenfunctions of the Laplacian on noncompact Riemannian manifolds
American Journal of Mathematics, 2013, 135(3), 579-635.
Web of Science® Times Cited: 1 |
I. Kamotski and Vladimir Maz´ya
Estimate for a solution to the water wave problem in the presence of a submerged body
Russian journal of mathematical physics, 2013, 20(4), 453-467.
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Benjamin J Jaye, Vladimir Maz´ya and Igor E Verbitsky
Quasilinear elliptic equations and weighted Sobolev-Poincare inequalities with distributional weights
Advances in Mathematics, 2013, 232(1), 513-542.
Web of Science® Times Cited: 5 |
Vladimir Maz´ya
Representations and estimates for inverse operators in the harmonic potential theory for polyhedra
Rendiconti Lincei - Matematica e Applicazioni, 2012, 23(3), 229-258.
Web of Science® Times Cited: 1 |
Vladimir Maz´ya and A. Movchan
Uniform asymptotics of Green's kernels in perforated domains and meso-scale approximations
Complex Variables and Elliptic Equations, 2012, 57(2-4), 137-154.
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Andrea Cianchi and Vladimir Maz´ya
Boundedness of solutions to the Schrodinger equation under Neumann boundary conditions
Journal des Mathématiques Pures et Appliquées, 2012, 98(6), 654-688.
Web of Science® Times Cited: 2 |
I. V. Kamotski and Vladimir Maz´ya
On the Linear Water Wave Problem in the Presence of a Critically Submerged Body
SIAM Journal on Mathematical Analysis, 2012, 44(6), 4222-4249.
Fulltext Web of Science® Times Cited: 2 |
B.J. Jaye, Vladimir Maz´ya and I.E. Verbitsky
Existence and regularity of positive solutions of elliptic equations of Schrödinger type
Journal d'Analyse Mathematique, 2012, 118(2), 577-621.
Web of Science® Times Cited: 5 |
V A Galaktionov and Vladimir Maz´ya
Boundary characteristic point regularity for Navier-Stokes equations: Blow-up scaling and Petrovskii-type criterion (a formal approach)
Nonlinear Analysis, 2012, 75(12), 4534-4559.
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Gershon Kresin and Vladimir Maz´ya
Sharp real-part theorems for high order derivatives
Journal of Mathematical Sciences, 2012, 181(2), 107-125.
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Andrea Cianchi and Vladimir G. Mazya
Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations
Communications in Partial Differential Equations, 2011, 36(1), 100-133.
Web of Science® Times Cited: 31 |
Vladimir Maz´ya and Robert McOwen
Differentiability of solutions to second-order elliptic equations via dynamical systems
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 250(2), 1137-1168.
Web of Science® Times Cited: 2 |
Flavia Lanzara, Vladimir Maz´ya and Gunther Schmidt
ON THE FAST COMPUTATION OF HIGH DIMENSIONAL VOLUME POTENTIALS
MATHEMATICS OF COMPUTATION, 2011, 80(274), 887-904.
Web of Science® Times Cited: 2 |
Vladmir Maz'ya, A Movchan and M Nieves
MESOSCALE ASYMPTOTIC APPROXIMATIONS TO SOLUTIONS OF MIXED BOUNDARY VALUE PROBLEMS IN PERFORATED DOMAINS
MULTISCALE MODELING and SIMULATION, 2011, 9(1), 424-448.
Fulltext Web of Science® Times Cited: 12 |
Andrea Cianchi and Vladimir Maz´ya
On the discreteness of the spectrum of the Laplacian on noncompact Riemannian manifolds
Journal of differential geometry, 2011, 87(3), 469-491.
Web of Science® Times Cited: 5 |
Vladimir Mazya and Tatiana Shaposhnikova
Brezis-Gallouet-Wainger type inequality for irregular domains
Complex Variables and Elliptic Equations, 2011, 56(10), 991-1002.
Web of Science® Times Cited: 3 |
Vladimir Maz'ya and Tatiana Shaposhnikova
Recent progress in elliptic equations and systems of arbitrary order with rough coefficients in Lipschitz domains
Bulletin of Mathematical Sciences, 2011, 1(1), 33-77.
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Vladimir Mazya and Tatyana Shaposhnikova
Recent progress in elliptic equations and systems of arbitrary order with rough coefficients in Lipschitz domains
Bulletin of Mathematical Sciences, 2011, 1(1), 33-77.
Web of Science® Times Cited: 2 |
Ryan Alvarado, Dan Brigham, Vladimir Maz´ya, Marius Mitrea and Elia Ziade
Sharp Geometric Maximum Principles for Semi-Elliptic Operators with Singular Drift
Mathematical Research Letters, 2011, 18(4), 613-620.
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Vladimir Maz'ya
Estimates for differential operators of vector analysis involving L-1-norm
Journal of the European Mathematical Society (Print), 2010, 12(1), 221-240.
Web of Science® Times Cited: 8 |
Guo Luo and Vladimir Maz´ya
Wiener Type Regularity of a Boundary Point for the 3D Lam, System
POTENTIAL ANALYSIS, 2010, 32(2), 133-151.
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Gershon Kresin and Vladimir Maz´ya
OPTIMAL ESTIMATES FOR THE GRADIENT OF HARMONIC FUNCTIONS IN THE MULTIDIMENSIONAL HALF-SPACE
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2010, 28(2), 425-440.
Web of Science® Times Cited: 1 |
Angelo Alvino, Andrea Cianchi, Vladimir Maz´ya and Anna Mercaldo
Well-posed elliptic Neumann problems involving irregular data and domains
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2010, 27(4), 1017-1054.
Web of Science® Times Cited: 7 |
Vladimir Maz´ya, Marius Mitrea and Tatiana Shaposhnikova
The dirichlet problem in lipschitz domains for higher order elliptic systems with rough coefficients
Journal d’Analyse Mathématique, 2010, 110(1), 167-239.
Web of Science® Times Cited: 15 |
Vladimir Maz´ya and A Movchan
Asymptotic treatment of perforated domains without homogenization
MATHEMATISCHE NACHRICHTEN, 2010, 283(1), 104-125.
Web of Science® Times Cited: 18 |
Tianling Jin, Vladimir Mazya and Jean Van Schaftingen
Pathological solutions to elliptic problems in divergence form with continuous coefficients
COMPTES RENDUS MATHEMATIQUE, 2009, 347(13-14), 773-778.
Web of Science® Times Cited: 25 |
Vladimir Maz´ya, M Mitrea and Tatyana Shaposhnikova
The inhomogeneous Dirichlet problem for the Stokes system in Lipschitz domains with unit normal close to VMO
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2009, 43(3), 217-235.
Web of Science® Times Cited: 18 |
Vladimir Maz´ya
On the boundedness of first derivatives for solutions to the Neumann-Laplace problem in a convex domain
Journal of Mathematical Sciences, 2009, 159(1), 104-112.
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Vladimir Mazya and J Rossmann
Mixed Boundary Value Problems for the Stationary Navier-Stokes System in Polyhedral Domains
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2009, 194(2), 669-712.
Web of Science® Times Cited: 11 |
Vladimir Maz´ya and S V Poborchii
ON THE SOLVABILITY OF THE NEUMANN PROBLEM IN DOMAINS WITH PEAK
ST PETERSBURG MATHEMATICAL JOURNAL, 2009, 20(5), 757-790.
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Vladimir Maz'ya and Sergei Poborchi
Unique solvability of the integral equation for harmonic simple layer potential on the boundary of a domain with a peak
Vestnik St. Petersburg University: Mathematics, 2009, 49(2), 120-129.
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Svitlana Mayboroda and Vladimir G. Maz'ya
Boundedness of the gradient of a solution and Wiener test of order one for the biharmonic equation
INVENTIONES MATHEMATICAE, 2009, 175(2), 287-334.
Web of Science® Times Cited: 11 |
Vladimir G. Maz'ya
Boundedness of the gradient of a solution to the Neumann-Laplace problem in a convex domain
Comptes Rendus Mathematique, 2009, 347(9-10), 517-520.
Web of Science® Times Cited: 6 |
Vladimir G. Maz'ya and J Rossmann
A maximum modulus estimate for solutions of the Navier-Stokes system in domains of polyhedral type
MATHEMATISCHE NACHRICHTEN, 2009, 282(3), 459-469.
Web of Science® Times Cited: 3 |
F. Lanzara, V. Maz'ya and G. Schmidt
Approximate Hermite quasi-interpolation
Applicable Analysis, 2008, 87(7), 805-827.
Web of Science® Times Cited: 2 |
A. Cianchi and Vladimir G. Maz´ya
Neumann problems and isocapacitary inequalities
Journal des Mathématiques Pures et Appliquées, 2008, 89(1), 71-105.
Web of Science® Times Cited: 8 |
Jan Lang and Vladimir Maz´ya
Essential norms and localization moduli of Sobolev embeddings for general domains
Journal of the London Mathematical Society, 2008, 78(2), 373-391.
Web of Science® Times Cited: 1 |
Svitlana Mayboroda and Vladimir Maz´ya
Boundedness of the hessian of a biharmonic function in a convex domain
Communications in Partial Differential Equations, 2008, 33(8), 1439-1454.
Web of Science® Times Cited: 2 |
Vladimir Maz´ya, Alexander Movchan and Michael Nieves
Uniform asymptotic formulae for Green's tensors inelastic singularly perturbed domains with multiple inclusions
Rendiconti Accademia Nazionale delle Scienze detta dei XL, Memorie di Matematica e Applicazioni, 2008, 30(1), 103-158.
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Vladimir Maz´ya and Sergei Poborchi
On solvability of the Neumann problem in a domain with peak
Algebra i analiz, 2008, 20(5), 108-153.
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Vladimir Maz´ya and Sergei Poborchi
On solvability of the Neumann problem for a planar domain with peak
Vestnik SPbGU, 2008, 41(2), 145-160.
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Flavia Lanzara, Vladimir Maz´ya and Gunther Schmidt
Approximate approximations with data on a perturbed uniform grid
Zeitschrift für Analysis und ihre Anwendungen, 2008, 27(3), 323-338.
Web of Science® Times Cited: 1 |
Ovidio Costin and Vladimir Maz´ya
Sharp Hardy-Leray inequality for axisymmetric divergence-free fields
Calculus of Variations and Partial Differential Equations, 2008, 32(4), 523-532.
Web of Science® Times Cited: 1 |
Vladimir G. Maz'ya and A Movchan
Uniform asymptotic approximations of Greens functions in a long rod
Mathematical methods in the applied sciences, 2008, 31(17), 2055-2068.
Web of Science® Times Cited: 4 |
Gershon Kresin and Vladimir G. Maz´ya
Sharp pointwise estimates for solutions of strongly elliptic second order systems with boundary data from L-P
Applicable Analysis, 2007, 86(7), 783-805.
Web of Science® Times Cited: 2 |
F. Lanzara, Vladimir G. Maz´ya and G. Schmidt
Approximate approximations from scattered data
Journal of Approximation Theory, 2007, 145(2), 141-170.
Web of Science® Times Cited: 3 |
Gou Luo and Vladimir G. Maz´ya
Weighted positivity of second order elliptic systems
Potential Analysis, 2007, 27(3), 251-270.
Web of Science® Times Cited: 1 |
Vladimir G. Maz´ya and Jurgen Rossmann
Lp estimates of solutions to mixed boundary value problems for the Stokes system in polyhedral domains
Mathematische Nachrichten, 2007, 280(7), 751-793.
Web of Science® Times Cited: 23 |
Vladimir G. Maz´ya, Alexander Movchan and Michael Nieves
Uniform asymptotic formulae for Green's tensors in elastic singularly perturbed domains
Asymptotic Analysis, 2007, 52( 3-4), 173-206.
Web of Science® Times Cited: 6 |
Vladimir G. Maz´ya
A new type of integral equations related to the co-area formula (Reduction of dimension in multi-dimensional integral equations)
Journal of Functional Analysis, 2007, 245(2), 493-504.
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Vladimir G. Maz´ya and Sergei Poborchi
On solvability of the Neumann problem in an energy space for a domain with peak
Georgian Mathematical Journal, 2007, 14(3), 499-518.
Web of Science® Times Cited: 4 |
Vladimir G. Maz´ya and Robert McOwen
Asymptotics for solutions of elliptic equations in double divergence form
Communications in Partial Differential Equations, 2007, 32(2), 191-207.
Web of Science® Times Cited: 2 |
Vladimir G. Maz´ya and Alexander Movchan
Uniform asymptotic formulae for Green's functions in singularly perturbed domains
Journal of Computational and Applied Mathematics, 2007, 208(1 SPEC. ISS.), 194-206.
Web of Science® Times Cited: 6 |
Vladimir G. Maz´ya and Gunther Schmidt
Potentials of Gaussians and approximate wavelets
Mathematische Nachrichten / / hrsg. vom Institut f|r Mathematik der Akademie der Wissenschaften der DDR, 2007, 280(9-10), 1176-1189.
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Staffas Filippas, Vladimir G. Maz´ya and Ahilles Tertikas
Critical Hardy-Sobolev inequalities
Journal des Mathématiques Pures et Appliquées, 2007, 87(1), 37-56.
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Vladimir G. Maz´ya and Sergei Poborchi
Imbedding theorems for Sobolev spaces on domains with peak and on Hoelder domains
St. Petersburg Mathematical Journal, 2007, 18(4), 583-605.
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Vladimir G. Maz´ya and Gershon Kresin
Sharp Bohr type real part estimates
Computational methods and function theory, 2007, 7(1), 151-165.
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Vladimir G. Maz´ya and Igor Verbitsky
Form boundedness of the general second-order differential operator
Communications on Pure and Applied Mathematics, 2006, 59(9), 1286-1329.
Web of Science® Times Cited: 9 |
Vladimir G. Maz´ya and Jurgen Rossmann
Schauder estimates for solutions to a mixed boundary value problem for the Stokes system in polyhedral domains
Mathematical methods in the applied sciences, 2006, 29(9), 965-1017.
Web of Science® Times Cited: 14 |
Stasis Filippas, Vladimir G. Maz´ya and Ahilles Tertikas
On a question of Brezis and Marcus
Calculus of Variations and Partial Differential Equations, 2006, 25(4), 491-501.
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Vladimir G. Maz´ya
Conductor inequalities and criteria for Sobolev type two-weight imbeddings
Journal of Computational and Applied Mathematics, 2006, 194(1 SPEC. ISS.), 94-114.
Web of Science® Times Cited: 8 |
Vladimir G. Maz´ya and A. Movchan
Uniform asymptotic formulae for Green's kernels in regularly and singularly perturbed domains
Comptes rendus. Mathematique, 2006, 343(3), 185-190.
Web of Science® Times Cited: 7 |
Vladimir G. Maz´ya and Alberto Cialdea
Criteria for the $L^p$-dissipativity of systems of second order differential equations
Ricerche di Matematica, 2006, 55(2), 233-265.
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Vladimir G. Maz´ya and Sergei Poborchi
Embedding theorems for Sobolev spaces on a domains with a peak and in H\"older domains
Algebra i analiz, 2006, 18(4), 95-126.
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Vladimir G. Maz´ya
Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings
Journal of Functional Analysis, 2005, 224(2), 408-430.
Web of Science® Times Cited: 27 |
Vladimir G. Maz´ya and Jurgen Rossman
Pointwise estimates for Green's kernel of a mixed boundary value problem to the Stokes system in a polyhedral cone
Mathematische Nachrichten, 2005, 278(15), 1766-1810.
Web of Science® Times Cited: 12 |
Vladimir G. Maz´ya and Mikhail Shubin
Can one see the fundamental frequency of a drum?
Letters in Mathematical Physics, 2005, 74(2), 135-151.
Web of Science® Times Cited: 9 |
Vladimir G. Maz´ya and Mikhail Shubin
Discreteness of spectrum and positivity criteria for Schroedinger operators
Annals of Mathematics, 2005, 162(2), .
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Ekaterina Gibiansky, Vladimir G. Maz´ya and Alexander Movchan
Three-scale asymptotics for a diffusion problem coupled with the wave equation
Applicable Analysis, 2005, 84(6), 585-600.
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Vladimir G. Maz´ya and Alberto Cialdea
Criterion for the $Lp$-dissipativity of second order differential operators with complex coefficients
Journal des Mathématiques Pures et Appliquées, 2005, 84, 1067-1100.
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Vladimir G. Maz´ya and Igor Verbitsky
Infinitesimal form boundedness and Trudinger's subordination for the Schroedinger operator
Inventiones Mathematicae, 2005, 162(1), 83-136.
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Vladimir Kozlov and Vladimir G. Maz´ya
Asymptotic formula for solutions to elliptic equations near the Lipschitz boundary
Annali di Matematica Pura ed Applicata, 2005, 184(2), 185-213.
Web of Science® Times Cited: 10 |
Vladimir Kozlov and Vladimir G. Maz´ya
An asymptotic theory of higher order operator differential equations with nonsmooth nonlinearities
Journal of Functional Analysis, 2004, 217, 448-488.
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Vladimir G. Maz´ya and J. Rossmann
Schauder estimates for solutions to boundary value problems for second order elliptic systems in polyhedral domains
Applicable Analysis, 2004, 83, 271-308.
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Vladimir G. Maz´ya and I. Verbitsky
The form boundedness criterion for the relativistic Schrödinger operator
Annales de l'Institut Fourier, 2004, 54, 317-339.
Web of Science® Times Cited: 9 |
Vladimir Kozlov and Vladimir G. Maz´ya
Sharp conditions for the classical asymptotic behaviour near a point for solutions to quasilinear elliptic systems
Asymptotic Analysis, 2004, 38(2), 143-165.
Web of Science® Times Cited: 2 |
Vladimir G. Maz´ya and A. Slutskii
Asymptotic solution to the Dirichlet problem for a two-dimensional Riccatti's type equation near a corner point
Asymptotic Analysis, 2004, 39(2), 169-185.
Web of Science® Times Cited: 1 |
F. Lanzara, Vladimir G. Maz´ya and G. Schmidt
Numerical solution of the Lippmann-Schwinger equation by approximate approximations
Journal of Fourier Analysis and Applications, 2004, 10(6), 645-660.
Web of Science® Times Cited: 5 |
V Kondratiev, Vladimir G. Maz´ya and M Shubin
Discreteness of spectrum and strict positivity criteria for magnetic Schrodinger operators
Communications in Partial Differential Equations, 2004, 29(03-Apr), 489-521.
Web of Science® Times Cited: 13 |
Vladimir G. Maz´ya, J. Elschner, J. Rehberg and G. Schmidt
Solutions for Quasilinear Nonsmooth Evolution Systems in Lp
Archive for Rational Mechanics and Analysis, 2004, 171(2), 219-262.
Web of Science® Times Cited: 9 |
S Filippas, Vladimir G. Maz´ya and A Tertikas
Sharp Hardy-Sobolev inequalities
Comptes rendus. Mathematique, 2004, 339(7), 483-486.
Web of Science® Times Cited: 25 |
V. Karlin, Vladimir G. Maz´ya and G. Schmidt
High accuracy periodic solutions to the Sivashinsky equation
, 2003, , .
Web of Science® Times Cited: 5 |
Vladimir G. Maz´ya and A. Soloviev
The direct method for boundary integral equations on a contour with peak
Georgian Mathematical Journal, 2003, 10(3), 573-593.
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Vladimir G. Maz´ya, G. Schmidt and W. Wendland
On the computation of multi-dimensional single layer harmonic potentials via approximate approximations
Calcolo (Testo stampato), 2003, 40(1), 33-53.
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G. I. Kresin and Vladimir G. Maz´ya
Best constants in the Miranda-Agmon inequalities for solutions of elliptic systems and the classical maximum modulus principle for fluid and elastic half-spaces
Applicable Analysis, 2003, 82(2), 157-185.
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Vladimir Kozlov and Vladimir G. Maz´ya
Asymptotic formula for solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients near the boundary
Annali della Scuola normale superiore di Pisa.. Classe di scienze, 2003, 2(3), 551-600.
Web of Science® Times Cited: 8 |
H. Hellsten, Vladimir G. Maz´ya and B. Vainberg
The spectrum of water waves produced by moving point sources, and a related inverse problem
Wave motion, 2003, 38(4), 345-354.
Web of Science® Times Cited: 3 |
Vladimir G. Maz´ya and J. Rossmann
Weighted Lp estimates of solutions to boundary value problems for second order elliptic systems in polyhedral domains
Zeitschrift für angewandte Mathematik und Mechanik, 2003, 83(7), 435-467.
Web of Science® Times Cited: 36 |
Vladimir G. Maz´ya and Tatyana Shaposhnikova
An elementary proof of the Brezis and Mironescu theorem on the composition operator in fractional Sobolev spaces
Journal of evolution equations (Printed ed.), 2002, 2(1), 113-125.
Web of Science® Times Cited: 11 |
Vladimir G. Maz´ya and Tatyana Shaposhnikova
On the brezis and mironescu conjecture concerning a Gagliardo-Nirenberg inequality for fractional Sobolev norms
Journal des Mathématiques Pures et Appliquées, 2002, 81(9), 877-884.
Web of Science® Times Cited: 8 |
Vladimir G. Maz´ya
The Wiener test for higher order elliptic equations
Duke mathematical journal, 2002, 115(3), 479-512.
Web of Science® Times Cited: 15 |
Vladimir G. Maz´ya and Tatyana Shaposhnikova
On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
Journal of Functional Analysis, 2002, 195(2), 230-238.
Web of Science® Times Cited: 46 |
Vladimir G. Maz´ya and Tatyana Shaposhnikova
Sharp pointwise interpolation inequalities for derivatives
Functional analysis and its applications, 2002, 36(1), 30-48.
Web of Science® Times Cited: 8 |
Vladimir G. Maz´ya and IE Verbitsky
The Schrodinger operator on the energy space: boundedness and compactness criteria
Acta Mathematica, 2002, 188(2), 263-302.
Web of Science® Times Cited: 44 |
Vladimir G. Maz´ya and J Rossmann
Point estimates for Green's matrix to boundary value problems for second order elliptic systems in a polyhedral cone
Zeitschrift für angewandte Mathematik und Mechanik, 2002, 82(5), 291-316.
Web of Science® Times Cited: 13 |
Vladimir Kozlov, Vladimir G. Maz´ya and A.B. Movchan
Fields in non-degenerate 1D-3D elastic multi-structures
Quarterly Journal of Mechanics and Applied Mathematics, 2001, 54(2), 177-212.
Web of Science® Times Cited: 9 |
Vladimir Kozlov and Vladimir G. Maz´ya
Boundary behavior of solutions to linear and nonlinear elliptic equations in plane convex domains
Mathematical Research Letters, 2001, 8(1-2), 189-193.
Web of Science® Times Cited: 3 |
Jana Björn and Vladimir G. Maz´ya
Capacitary estimates for solutions of the Dirichlet problem for second order elliptic equations in divergence form
Potential Analysis, 2000, 12(1), 81-113.
Web of Science® Times Cited: 1 |
Vladimir G. Maz´ya and AS Slutskii
Asymptotic analysis of the Navier-Stokes system in a plane domain with thin channels
Asymptotic Analysis, 2000, 23(1), 59-89.
Web of Science® Times Cited: 8 |
V Karlin, Vladimir G. Maz´ya, AB Movchan, JR Willis and R Bullough
Numerical solution of nonlinear hypersingular integral equations of the Peierls type in dislocation theory
SIAM Journal on Applied Mathematics, 2000, 60(2), 664-678.
Web of Science® Times Cited: 4 |
Vladimir G. Maz´ya and AB Movchan
Dynamic singular perturbation problems for multi-structures
Applied Stochastic Models in Business and Industry, 2000, 16(4), 249-278.
Web of Science® Times Cited: 1 |
Books
Vladimir Maz´ya, Alexander Movchan and Michael Nieves
Green's Kernels and Meso-Scale Approximations in Perforated Domains
Lecture Notes in Mathematics, 2077, Springer, 2013.
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Gershon Kresin and Vladimir Maz´ya
Maximum principles and sharp constants for solutions of elliptic and parabolic systems
Mathematical Surveys and Monographs, 183, American Mathematical Society (AMS), 2012.
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Vladimir Maz'ya
Sobolev spaces: with applications to elliptic partial differential equations
Grundlehren der mathematischen wissenschaften, 342, Springer Berlin/Heidelberg, 2011.
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Vladimir Maz´ya and Alexander Soloviev
Boundary Integral Equations on Contours with Peaks: Translated from Russian and edited by T. Shaposhnikova
Operator Theory: Advances and Applications, 196, Birkhäuser, 2010.
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Vladimir Maz´ya and Tatyana Shaposhnikova
Theory of Sobolev Multipliers: with Applications to Differential and Integral Operators
Grundlehren der mathematischen Wissenschaften, 337, Springer, 2008.
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Vladimir Maz´ya and Tatyana Shaposhnikova
Jacques Hadamard, Legend of Mathematics
MCNMO, 2008.
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Gershon Kresin and Vladimir G. Maz´ya
Sharp real-part theorems: A unified approach
Lecture Notes in Mathematics, 1903, Springer Berlin/Heidelberg, 2007.
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Vladimir G. Maz´ya and Sergei Poborchi
Embedding Theorems for non-Lipschitz domains
St. Petersburg University Publishers, 2007.
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Vladimir G. Maz´ya and Gershon Kresin
Sharp real-part theorems. A unified approach
Lecture Notes in Mathematics, 1903, Springer, 2007.
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Vladimir G. Maz´ya and Gunther Schmidt
Approximate approximations
American Mathematical Society, 2007.
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Vladimir G. Maz´ya
Application of isoperimetric and isocapacitary inequalities to the theory of Sobolev spaces
Graduate Texts in Mathematics, v.4, , University of Helsinki, 2003.
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Vladimir Kozlov, Vladimir Maz´ya and Jürgen Rossmann
Spectral problems associated with corner singularities of solutions of elliptic equations
Mathematical surveys,, 85, American Mathematical Society, 2001.
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Vladimir Kozlov and Vladimir Maz´ya
Differential Equations with Operator Coefficients: with Applications to Boundary Value Problems for Partial Differential Equations
Springer, 1999.
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Vladimir Kozlov, Vladimir Maz´ya and Alexander Movchan
Asymptotic analysis of fields in multi-structures
Oxford University Press, 1999.
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Vladimir Kozlov, Vladimir Maz´ya and Jürgen Rossmann
Elliptic boundary value problems in domains with point singularities
Mathematical surveys, 52, American Mathematical Society, 1997.
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Vladimir Kozlov and Vladimir Maz´ya
Theory of a higher-order Sturm-Liouville equation.
Lecture notes in mathematics, 1659, Springer-verlag, 1997.
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Anthologies
Vladimir Maz'ya
Sobolev spaces in mathematics. II: Applications in analysis and partial differential equations
International Mathematical Series (New York), , Springer, 2009.
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Vladimir Maz'ya
Sobolev spaces in mathematics. I: Sobolev type inequalities
International Mathematical Series, 8, Springer, 2009.
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Vladimir Maz´ya
Sobolev Spaces in Mathematics II: Applications in Analysis and Partial Differential Equations
International Mathematical Series, 9, Springer, 2008.
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Vladimir Maz´ya
Sobolev Spaces in Mathematics I: Sobolev type inequalities
International Mathematical Series, 8, Springer, 2008.
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Chapters in Books
Vladimir Maz'ya and Tatyana Shaposhnikova
A collection of sharp dilation invariant integral inequalities for differentiable functions
Sobolev spaces in mathematics. I, Springer, 2009, 223-247.
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Vladimir Maz'ya and Alexander Movchan
Uniform asymptotics of Green's kernels for mixed and Neumann problems in domains with small holes and inclusions
Sobolev spaces in mathematics. III, Springer, 2009, 277-316.
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Vladimir Maz'ya
Integral and isocapacitary inequalities
Linear and complex analysis, , 2009, 85-107.
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Serban Costea and Vladimir Maz'ya
Conductor inequalities and criteria for Sobolev-Lorentz two-weight inequalities.
Sobolev spaces in mathematics. II, Springer, 2009, 103-121.
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Vladimir Maz´ya and Alexander Movchan
Uniform asymptotics of Green's kernels for mixed and Neumann problems in domains with small holes and inclusions
Sobolev Spaces in Mathematics III. Applications in Mathematical Physics, Springer, 2008, 277-316.
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Vladimir Maz´ya and Tatyana Shaposhnikova
A Collection of sharp dilation invariant integral inequalities for differentiable functions
Sobolev Spaces in Mathematics I. Sobolev Type Inequalities, Springer, 2008, 223-248.
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Vladimir G. Maz´ya
Bourgain-Brezis type inequality with explicit constants
Interpolation Theory and Applications, American Mathematical Society, 2007, 247-264.
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Vladimir G. Maz´ya
Analytic criteria in the qualitative spectral analysis of the Schrödinger operator
Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday: Quantum Field Theory, Statistical Mechanics, and Nonrelativistic Quantum Systems: Quantum Field Theory, Statistical Mechanics, and Nonrelativistic Quantum Systems, AMS, 2007, 257-288.
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Vladimir G. Maz´ya
Remembering Erhard Meister
Operator Theoretical Methods and Applications to Mathematical Physics, Birkhäuser, 2004, -473.
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Vladimir G. Maz´ya and Tatyana Shaposhnikova
Characterization of multipliers in pairs of Besov spaces
Operator theoretical methods and applications to mathematical physics, Birkhäuser, 2004, 365-387.
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Vladimir G. Maz´ya
Lectures on isoperimetric and capacitary inequalities in the theory of Sobolev spaces
Heat kernels and analysis on manifolds, graphs, and metric spaces: lecture notes from a quarter program on heat kernels, random walks, and analysis on manifolds and graphs, April 16-July 13, 2002, Emile Borel Centre of the Henri Poincaré Institute, Paris, France, Providence, RI, 2003, 307-340.
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Vladimir Kozlov and Vladimir G. Maz´ya
Asymptotics of a singular solution to the Dirichlet problem for elliptic equations with discontinuous coefficients near the boundary
Function spaces, differential operators and nonlinear analysis. .: The Hans Triebel anniversary volume, Birkhäuser Verlag, 2003, 75-115.
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Conference Articles
Vladimir Maz'ya
Higher order elliptic equations in non-smooth domains
Advances in boundary integral equations and related topics. A conference in honor of G.C. Hsiao's 75th birthday, 2009.
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Vladimir Maz'ya
Bounds for eigenfunctions of the Laplacian on noncompact Riemannian manifolds
Workshop in spectral theory and PDE, 2009.
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Vladimir Maz'ya
Higher order elliptic problems in non-smooth domains
Spectral theory and geometric analysis, 2009.
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Vladimir Maz'ya
Higher order elliptic equations in non-smooth domains
Seven's ISAAC Congress, 2009.
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Vladimir Maz'ya
Higher order elliptic problems in non-smooth domains
Complex Analysis and Dynamical Systems IV, 2009.
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Vladimir Maz´ya
Boundedness of the gradient and the Hessian of a biharmonic function
New trends in biharmonic analysis,2008, 2008.
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Vladimir Maz´ya
Unsolved mysteries of solutions to PDEs near the boundary
Analysis, Operator Theory and Applications,2008, 2008.
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Vladimir G. Maz´ya
Derivatives of biharmonic functions near nonsmooth boundary
1027th Meeting of the American Mathematical Society,2007, 2007.
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Vladimir G. Maz´ya
Hadamard-type formula for Green kernels in singularly perturbed domains
International Conference on Boundary Integral Methods,2006, 2006.
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Vladimir G. Maz´ya
Unsolved mysteries of solutions to PDEs near the boundary
International Conference on Complex Analysis and Potential Theory, Satellite to the ICM 2006,2006, 2006.
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Vladimir G. Maz´ya
Mixed boundary value problems for the Navier-Stokes systems in polyhedral domains
NSF Conference on Harmonic Analysis and PDEs,2006, 2006.
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Vladimir G. Maz´ya
Variations on the theme of sharp Sobolev type inequalities
Interpolation Theory and Applications,2006, 2006.
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Vladimir G. Maz´ya
Unsolved mysteries of solutions to PDEs near the boundary
Geometric Methods in Nonlinear PDEs and Free Boundary Problems,2006, 2006.
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Vladimir G. Maz´ya
Unsolved mysteries of solutions to PDEs near the boundary
Riviere-Fabes Symposium on Analysis and PDE,2005, 2005.
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Vladimir G. Maz´ya
New criteria in the spectral theory of Schroedinger operator
Conference on Operator Theory, Function Spaces and Applications,2005, 2005.
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Vladimir G. Maz´ya
Hadamard-type variational formulae for Green's kernels in singularly perturbed domains
Workshop on Thin Structures,2005, 2005.
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Vladimir G. Maz´ya
unsolved mysteries of solutions to partial differential equations near the boundary
Mathematics 2005, British Mathematical Colloquium,2005, 2005.
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Vladimir G. Maz´ya
Best constants in the Miranda-Agmon inequalities for solutions of elliptic systems and the classical maximum modulus principle for fluid and elastic half-spaces
Boundary Integral Methods: Theory and Applications,2004, 2004.
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Vladimir G. Maz´ya
Asymptotic theory of higher order operator differential equations with nonsmooth nonlinearities
International Workshop on Dynamical Systems and Control,2004, 2004.
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Vladimir G. Maz´ya
New spectral criteria for the Schrödinger operator
Spectral Theory Network Conference IV,2004, 2004.
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Vladimir G. Maz´ya
Wiener test for higher order elliptic equations
Workshop on PDEs,2004, 2004.
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Vladimir G. Maz´ya
The Schrödinger equations and relativistic Schrödinger operators on the energy space
Operator Theory in Analysis and Engineering,2003, 2003.
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Vladimir G. Maz´ya
New criteria in the spectral theory of the Schrödinger operator
Deutscher Mathematiker-Vereinigung, Jahrestagung 2003,2003, 2003.
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Vladimir G. Maz´ya and Tatyana Shaposhnikova
A survey of pointwise interpolation inequalities for integer and fractional derivatives
Acoustics, Mechanics, and the Related Topics of Mathematical Analysis,2002, 2002.
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Vladimir G. Maz´ya
Wiener's test for higher order elliptic equations
International Congress of Mathematicians,2002, 2002.
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Ph.D., Lic. Theses
