Publications for Vladimir Maz´ya
Co-author map based on ISI articles 2007-

Keywords

spaces sobolev sharp regularity partial operator lipschitz integral inequalities estimates equations equation em> elliptic dirichlet differential coefficients boundary asymptotic approximations

Journal Articles

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.

Svitlana Mayboroda and Vladimir Maz´ya
  Regularity of solutions to the polyharmonic equation in general domains
  Inventiones Mathematicae, 2014, 196(1), 0464.

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.

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.

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.

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.

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.

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: 3

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.

Gershon Kresin and Vladimir Maz´ya
  Sharp real-part theorems for high order derivatives
  Journal of Mathematical Sciences, 2012, 181(2), 107-125.

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: 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  PDF  
 Web of Science® Times Cited: 1

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: 1

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

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.

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 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

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.

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: 3

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  PDF  
 Web of Science® Times Cited: 6

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: 1

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: 15

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: 1

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: 12

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: 4

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

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: 10

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.

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: 3

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.

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.

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 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: 7

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: 14

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: 19

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: 4

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

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: 10

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: 6

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

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

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

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

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 Maz´ya and Sergei Poborchi
  On solvability of the Neumann problem in a domain with peak
  Algebra i analiz, 2008, 20(5), 108-153.

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 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: 2

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, 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

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 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 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 Gershon Kresin
  Sharp Bohr type real part estimates
  Computational methods and function theory, 2007, 7(1), 151-165.

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: 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
  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.

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: 19

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 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, 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: 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 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: 5

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 Alberto Cialdea
  Criteria for the $L^p$-dissipativity of systems of second order differential equations
  Ricerche di Matematica, 2006, 55(2), 233-265.

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
  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: 5

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: 11

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: 6

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: 10

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: 8

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: 23

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 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 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 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: 9

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: 11

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

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: 8

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: 4

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

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 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 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: 8

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.

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: 30

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.

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.

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.

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

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 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 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: 12

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: 38

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: 6

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: 30

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: 9

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 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

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: 7

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

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: 3

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: 5

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

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
  Theory of Sobolev Multipliers: with Applications to Differential and Integral Operators
    Grundlehren der mathematischen Wissenschaften, 337, Springer, 2008.


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


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 and Sergei Poborchi
  Embedding Theorems for non-Lipschitz domains
    St. Petersburg University Publishers, 2007.


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


Vladimir G. Maz´ya and Gershon Kresin
  Sharp real-part theorems. A unified approach
    Lecture Notes in Mathematics, 1903, Springer, 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 and Vladimir Maz´ya
  Theory of a higher-order Sturm-Liouville equation.
    Lecture notes in mathematics, 1659, Springer-verlag, 1997.


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


Anthologies

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, 2009.


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


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


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.


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 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: Quantum Field Theory, Statistical Mechanics, and Nonrelativistic Quantum Systems: Quantum Field Theory, Statistical Mechanics, and Nonrelativistic Quantum Systems, 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
  Remembering Erhard Meister
  Operator Theoretical Methods and Applications to Mathematical Physics, Birkhäuser, 2004, -473.


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


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
  Seven's ISAAC Congress, 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 problems in non-smooth domains
  Spectral theory and geometric analysis, 2009.


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


Vladimir Maz´ya
  Boundedness of the gradient and the Hessian of a biharmonic function
  New trends in biharmonic analysis,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
  Variations on the theme of sharp Sobolev type inequalities
  Interpolation Theory and Applications,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
  Geometric Methods in Nonlinear PDEs and Free Boundary Problems,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
  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
  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
  Asymptotic theory of higher order operator differential equations with nonsmooth nonlinearities
  International Workshop on Dynamical Systems and Control,2004, 2004.


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
  New criteria in the spectral theory of the Schrödinger operator
  Deutscher Mathematiker-Vereinigung, Jahrestagung 2003,2003, 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.