Vladimir Mazya ELLIPTIC EQUATIONS IN CONVEX DOMAINS St. Petersburg Mathematical Journal, 2018, 29(1), 155-164.
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Svitlana Mayboroda and Vladimir Mazya Polyharmonic capacity and Wiener test of higher order Inventiones Mathematicae, 2018, 211(2), 779-853.
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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.
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Andrea Cianchi and Vladimir Mazya Quasilincar elliptic problems with general growth and merely integrable, or measure, data Nonlinear Analysis, 2017, 164, 189-215.
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Giuseppina Barletta, Andrea Cianchi and Vladimir Mazya Quasilinear elliptic equations on noncompact Riemannian manifolds Journal of Functional Analysis, 2017, 273(11), 3426-3462.
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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.
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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.
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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.
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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.
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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.
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Svitlana Mayboroda and Vladimir Maz´ya Regularity of solutions to the polyharmonic equation in general domains Inventiones Mathematicae, 2014, 196(1), 0464.
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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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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.
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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.
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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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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.
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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.
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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.
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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.
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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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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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Vladimir Mazya and Tatiana Shaposhnikova Brezis-Gallouet-Wainger type inequality for irregular domains Complex Variables and Elliptic Equations, 2011, 56(10), 991-1002.
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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.
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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.
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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.
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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.
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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.
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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.
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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 and A Movchan Asymptotic treatment of perforated domains without homogenization MATHEMATISCHE NACHRICHTEN, 2010, 283(1), 104-125.
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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.
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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.
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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.
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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.
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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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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.
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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.
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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.
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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.
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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 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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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.
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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.
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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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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.
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F. Lanzara, V. Maz'ya and G. Schmidt Approximate Hermite quasi-interpolation Applicable Analysis, 2008, 87(7), 805-827.
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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.
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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.
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A. Cianchi and Vladimir G. Maz´ya Neumann problems and isocapacitary inequalities Journal des Mathématiques Pures et Appliquées, 2008, 89(1), 71-105.
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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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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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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.
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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.
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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 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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F. Lanzara, Vladimir G. Maz´ya and G. Schmidt Approximate approximations from scattered data Journal of Approximation Theory, 2007, 145(2), 141-170.
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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.
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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 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.
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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.
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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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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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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.
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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.
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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.
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Gou Luo and Vladimir G. Maz´ya Weighted positivity of second order elliptic systems Potential Analysis, 2007, 27(3), 251-270.
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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.
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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 and Igor Verbitsky Form boundedness of the general second-order differential operator Communications on Pure and Applied Mathematics, 2006, 59(9), 1286-1329.
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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 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.
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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.
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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.
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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.
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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.
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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 Mikhail Shubin Discreteness of spectrum and positivity criteria for Schroedinger operators Annals of Mathematics, 2005, 162(2), .
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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 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.
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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 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 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.
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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.
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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.
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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 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.
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S Filippas, Vladimir G. Maz´ya and A Tertikas Sharp Hardy-Sobolev inequalities Comptes rendus. Mathematique, 2004, 339(7), 483-486.
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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.
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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.
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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.
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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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V. Karlin, Vladimir G. Maz´ya and G. Schmidt High accuracy periodic solutions to the Sivashinsky equation , 2003, , .
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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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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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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.
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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.
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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.
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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.
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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.
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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.
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Vladimir G. Maz´ya and Tatyana Shaposhnikova Sharp pointwise interpolation inequalities for derivatives Functional analysis and its applications, 2002, 36(1), 30-48.
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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.
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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.
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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.
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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.
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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.
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