Publication List for for Vladimir Mazya

Publications for Vladimir Mazya

Co-author map based on Web of Sciences articles 2007-

Journal Articles

Vladimir Mazya ELLIPTIC EQUATIONS IN CONVEX DOMAINS St. Petersburg Mathematical Journal, 2018, 29(1), 155-164.
Svitlana Mayboroda and Vladimir Mazya Polyharmonic capacity and Wiener test of higher order Inventiones Mathematicae, 2018, 211(2), 779-853.
Vladimir Mazya, A. B. Movchan and M. J. Nieves EIGENVALUE PROBLEM IN A SOLID WITH MANY INCLUSIONS: ASYMPTOTIC ANALYSIS Multiscale Modeling & simulation, 2017, 15(2), 1003-1047. Fulltext Web of Science® Times Cited: 1
Andrea Cianchi and Vladimir Mazya Quasilincar elliptic problems with general growth and merely integrable, or measure, data Nonlinear Analysis, 2017, 164, 189-215.
Giuseppina Barletta, Andrea Cianchi and Vladimir Mazya Quasilinear elliptic equations on noncompact Riemannian manifolds Journal of Functional Analysis, 2017, 273(11), 3426-3462.
F. Lanzara, Vladimir Mazya and G. Schmidt Approximation of solutions to multidimensional parabolic equations by approximate approximations Applied and Computational Harmonic Analysis, 2016, 41(3), 749-767. Web of Science® Times Cited: 1
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. Fulltext Web of Science® Times Cited: 3	Altmetric usage: 0
Andrea Cianchi and Vladimir Mazya Sobolev inequalities in arbitrary domains Advances in Mathematics, 2016, 293, 644-696. Web of Science® Times Cited: 1
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: 10
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: 3
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: 21
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: 20
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: 3
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. Web of Science® Times Cited: 1
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: 3
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.
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: 6
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. Web of Science® Times Cited: 2
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: 3
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: 7
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: 3
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
Gershon Kresin and Vladimir Maz´ya Sharp real-part theorems for high order derivatives Journal of Mathematical Sciences, 2012, 181(2), 107-125.
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.
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 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: 3
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: 43
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: 15
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: 6
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: 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.
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: 4
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.
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: 27	Altmetric usage: 0
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: 11
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: 3
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: 22
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: 11
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. Web of Science® Times Cited: 1
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: 4
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: 13
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: 7
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: 14
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.
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.
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: 34
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: 20
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.
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
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
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: 5
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
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: 10
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.
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.
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: 6	Altmetric usage: 0
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.
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.
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: 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: 4
Staffas Filippas, Vladimir G. Maz´ya and Ahilles Tertikas Critical Hardy-Sobolev inequalities Journal des Mathématiques Pures et Appliquées, 2007, 87(1), 37-56.
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.
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: 31
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 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.
Vladimir G. Maz´ya and Gershon Kresin Sharp Bohr type real part estimates Computational methods and function theory, 2007, 7(1), 151-165.
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
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: 9	Altmetric usage: 0
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: 9
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 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: 10
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.
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.
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: 13
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.
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: 16
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: 10
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: 11
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: 11
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: 32
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.
Vladimir G. Maz´ya and Mikhail Shubin Discreteness of spectrum and positivity criteria for Schroedinger operators Annals of Mathematics, 2005, 162(2), .
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.
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: 14
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.
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.
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
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: 15
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: 7
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.
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
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: 27
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: 10
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: 11
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
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.
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, 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.
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.
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: 38
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: 12
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: 78
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 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 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: 10
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: 51
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: 18
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: 4
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 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: 9
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 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
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: 5

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.

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.

Vladimir Maz'ya
Sobolev spaces: with applications to elliptic partial differential equations
Grundlehren der mathematischen wissenschaften, 342, Springer Berlin/Heidelberg, 2011.

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.

Vladimir Maz´ya and Tatyana Shaposhnikova
Jacques Hadamard, Legend of Mathematics
MCNMO, 2008.

Vladimir Maz´ya and Tatyana Shaposhnikova
Theory of Sobolev Multipliers: with Applications to Differential and Integral Operators
Grundlehren der mathematischen Wissenschaften, 337, Springer, 2008.

Vladimir G. Maz´ya and Gunther Schmidt
Approximate approximations
American Mathematical Society, 2007.

Vladimir G. Maz´ya and Sergei Poborchi
Embedding Theorems for non-Lipschitz domains
St. Petersburg University Publishers, 2007.

Vladimir G. Maz´ya and Gershon Kresin
Sharp real-part theorems. A unified approach
Lecture Notes in Mathematics, 1903, Springer, 2007.

Gershon Kresin and Vladimir G. Maz´ya
Sharp real-part theorems: A unified approach
Lecture Notes in Mathematics, 1903, Springer Berlin/Heidelberg, 2007.

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.

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.

Vladimir Kozlov, Vladimir Maz´ya and Alexander Movchan
Asymptotic analysis of fields in multi-structures
Oxford University Press, 1999.

Vladimir Kozlov and Vladimir Maz´ya
Differential Equations with Operator Coefficients: with Applications to Boundary Value Problems for Partial Differential Equations
Springer, 1999.

Vladimir Kozlov, Vladimir Maz´ya and Jürgen Rossmann
Elliptic boundary value problems in domains with point singularities
Mathematical surveys, 52, American Mathematical Society, 1997.

Vladimir Kozlov and Vladimir Maz´ya
Theory of a higher-order Sturm-Liouville equation.
Lecture notes in mathematics, 1659, Springer-verlag, 1997.

Anthologies

Vladimir Maz'ya
Sobolev spaces in mathematics. I: Sobolev type inequalities
International Mathematical Series, 8, Springer, 2009.

Vladimir Maz'ya
Sobolev spaces in mathematics. II: Applications in analysis and partial differential equations
International Mathematical Series (New York), , Springer, 2009.

Vladimir Maz´ya
Sobolev Spaces in Mathematics I: Sobolev type inequalities
International Mathematical Series, 8, Springer, 2008.

Vladimir Maz´ya
Sobolev Spaces in Mathematics II: Applications in Analysis and Partial Differential Equations
International Mathematical Series, 9, Springer, 2008.

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.

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.

Vladimir Maz'ya
Integral and isocapacitary inequalities
Linear and complex analysis, , 2009, 85-107.

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.

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.

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.

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: Ergodic Schrödinger Operators, Singular Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory, American Mathematical Society (AMS), 2007, 257-288.

Vladimir G. Maz´ya
Bourgain-Brezis type inequality with explicit constants
Interpolation Theory and Applications, American Mathematical Society, 2007, 247-264.

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.

Vladimir G. Maz´ya
Remembering Erhard Meister
Operator Theoretical Methods and Applications to Mathematical Physics, Birkhäuser, 2004, -473.

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.

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.

Conference Articles

Vladimir Maz'ya
Bounds for eigenfunctions of the Laplacian on noncompact Riemannian manifolds
Workshop in spectral theory and PDE, 2009.

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.

Vladimir Maz'ya
Higher order elliptic equations in non-smooth domains
Seven's ISAAC Congress, 2009.

Vladimir Maz'ya
Higher order elliptic problems in non-smooth domains
Spectral theory and geometric analysis, 2009.

Vladimir Maz'ya
Higher order elliptic problems in non-smooth domains
Complex Analysis and Dynamical Systems IV, 2009.

Vladimir Maz´ya
Boundedness of the gradient and the Hessian of a biharmonic function
New trends in biharmonic analysis,2008, 2008.

Vladimir Maz´ya
Unsolved mysteries of solutions to PDEs near the boundary
Analysis, Operator Theory and Applications,2008, 2008.

Vladimir G. Maz´ya
Derivatives of biharmonic functions near nonsmooth boundary
1027th Meeting of the American Mathematical Society,2007, 2007.

Vladimir G. Maz´ya
Hadamard-type formula for Green kernels in singularly perturbed domains
International Conference on Boundary Integral Methods,2006, 2006.

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.

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.

Vladimir G. Maz´ya
Unsolved mysteries of solutions to PDEs near the boundary
Geometric Methods in Nonlinear PDEs and Free Boundary Problems,2006, 2006.

Vladimir G. Maz´ya
Variations on the theme of sharp Sobolev type inequalities
Interpolation Theory and Applications,2006, 2006.

Vladimir G. Maz´ya
Hadamard-type variational formulae for Green's kernels in singularly perturbed domains
Workshop on Thin Structures,2005, 2005.

Vladimir G. Maz´ya
New criteria in the spectral theory of Schroedinger operator
Conference on Operator Theory, Function Spaces and Applications,2005, 2005.

Vladimir G. Maz´ya
unsolved mysteries of solutions to partial differential equations near the boundary
Mathematics 2005, British Mathematical Colloquium,2005, 2005.

Vladimir G. Maz´ya
Unsolved mysteries of solutions to PDEs near the boundary
Riviere-Fabes Symposium on Analysis and PDE,2005, 2005.

Vladimir G. Maz´ya
Asymptotic theory of higher order operator differential equations with nonsmooth nonlinearities
International Workshop on Dynamical Systems and Control,2004, 2004.

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.

Vladimir G. Maz´ya
New spectral criteria for the Schrödinger operator
Spectral Theory Network Conference IV,2004, 2004.

Vladimir G. Maz´ya
Wiener test for higher order elliptic equations
Workshop on PDEs,2004, 2004.

Vladimir G. Maz´ya
New criteria in the spectral theory of the Schrödinger operator
Deutscher Mathematiker-Vereinigung, Jahrestagung 2003,2003, 2003.

Vladimir G. Maz´ya
The Schrödinger equations and relativistic Schrödinger operators on the energy space
Operator Theory in Analysis and Engineering,2003, 2003.

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.

Vladimir G. Maz´ya
Wiener's test for higher order elliptic equations
International Congress of Mathematicians,2002, 2002.

Linköping University Electronic Press