New preprints and reprints in pdf format:

2012:

(PDF) I. Kamotski, V. Maz'ya, On linear water wave problem in the presence of a critically submerged body.
(PDF) G. Kresin, V. Maz'ya, Sharp real-part theorems for high order derivatives.
(PDF) G. Kresin, V. Maz'ya, Sharp real-part theorems in the upper half-plane and similar estimates for harmonic functions.

2011:

(PDF) V. Maz'ya, A. Movchan, M. Nieves, Green’s kernels and meso-scale approximations in perforated domains. Asymptotic analysis.
(PDF) V. Galaktionov and V. Maz’ya, Boundary characteristic point regularity for Navier–Stokes equations: blow-up scaling and Petrovskii-type criterion (a formal approach).
(PDF) A. Cianchi, V. Maz’ya, Gradient regularity via rearrangements for p-Laplacian type elliptic boundary value problems.
(PDF) A. Cianchi, V. Maz’ya, Boundedness of solutions to the Schrödinger equation under Neumann boundary conditions.
(PDF) R. Alvarado, D. Brigham, V. Maz’ya, M. Mitrea and E. Ziade, Sharp geometric maximum principles for semi-elliptic operators with singular drift.
(PDF) R. Cianchi, V. Maz’ya, Bounds for eigenfunctions of the Laplacian on noncompact Riemannian manifolds.
(PDF) R. Alvarado, D. Brigham, V. Maz’ya, M. Mitrea, E. Ziadé, On the regularity of domains satisfying a uniform hour-glass condition and a sharp version of the Hopf—Oleinik boundary point principle.
(HTML) V. Maz'ya, T. Shaposhnikova, D. Tampieri, Solomon Grigoryevich Mikhlin.
(PDF) B. Jaye, V. Maz'ya, I. Verbitsky, Existence and regularity of positive solutions to elliptic equations of Schrodinger type.
(PDF) V. Galaktionov, V. Maz'ya, Boundary characteristic point regularity for semilinear reaction-diffusion equations: towards an ODE criterion
(PDF) V. Maz'ya, S. Poborchi, Existence and uniqueness of an energy solution to the Dirichlet problem for the Laplace equation in the exterior of a multi-dimensional paraboloid.
(PDF) I. Kamotski, V. Maz’ya, On the third boundary value problem in domains with cusps.

2010:

(PDF) V. Maz'ya, A. Movchan, Uniform asymptotics of Green’s kernels in perforated domains and meso-scale approximations.
(PDF) V. Maz'ya, T. Shaposhnikova, Recent progress in elliptic equations and systems of arbitrary order with rough coefficients in Lipschitz domains.
(PDF) V. Maz'ya, R. McOwen, Differentiability of solutions to second-order elliptic equations via dynamical systems.
(PDF) G. Kresin, V. Maz'ya, Sharp pointwise estimates for directional derivatives of harmonic functions in a multidimensional ball.
(PDF) V. Maz'ya, T. Shaposhnikova, Brezis-Gallouet-Wainger type inequality for irregular domains.
(PDF) M. Dindos, V. Maz'ya, L^p solvability of the Stationary Stokes problem on domains with conical singularity in any dimension.
(PDF) A. Cianchi, V. Maz'ya, Global Lipschitz regularity for a class of quasilinear elliptic equations.
(PDF) A. Cianchi, V. Maz'ya, On the discreteness of the spectrum of the Laplacian on noncompact Riemannian manifolds.
(PDF) V. Maz'ya, A. Movchan, M. Nieves, Mesoscale asymptotic approximations to solutions of mixed boundary value problems in perforated domains.
(PDF) A. Carbery, V. Maz’ya, M. Mitrea and D. Rule, The Integrability of Negative Powers of the Solution of the Saint Venant Problem.

2009:

(PDF) V. Maz'ya, S. Poborchi, On Solvability of Boundary Integral Equations of Potential Theory for a Multi-Dimensional Cusp Domain.
(PDF) A. Cialdea, V. Maz'ya, A quasi-commutativity property of the Poisson and composition operators.
(PDF) G. Kresin, V. Maz'ya, Optimal estimates for the gradient of harmonic functions in the multidimensional half-space.
(PDF) V. Maz'ya, M. Mitrea, T. Shaposhnikova, The Inhomogeneous Dirichlet Problem for the Stokes System in Lipschitz Domains with Unit Normals Close to VMO.
(PDF) A. Alvino, A. Cianchi, V. Maz’ya, A. Mercaldo, Well-posed elliptic Neumann problems involving irregular data and domains.
(PDF) V. Maz'ya, A. Movchan, Asymptotic treatment of perforated domains without homogenization.
(PDF) T. Jin, V. Maz'ya, J. V. Schaftingen, Pathological solutions to elliptic problems in divergence form with continuous coefficients.
(PDF) S. Mayboroda, V. Maz'ya, Pointwise estimates for the polyharmonic Green function in general domains.
(PDF) F. Lanzara, V. Maz'ya, G. Schmidt, Tensor product approximations of high dimensional potentials,
(PDF) V. Maz'ya, A. Movchan, M. Nieves, Green's kernels for transmission problems in bodies with small inclusions.
(PDF) G. Luo, V. Maz'ya, Wiener Type Regularity of a Boundary Point for the 3D Lamé System.

2008:

(PDF) V. Maz'ya, A. Movchan, Uniform asymptotic approximations of Green's functions in a long rod.
(PDF) V. Maz'ya, S. Poborchi, On the Solvability of the Neumann Problem for a Planar Domain with a Peak.
(PDF) V. Maz'ya, Boundedness of the gradient of a solution to the Neumann-Laplace problem in a convex domain.
(PDF) V. Maz'ya, Integral and isocapacitary inequalities.
(PDF) V. Maz'ya, Estimates for differential operators of vector analysis involving L¹-norm.
(PDF) V. Maz'ya, S. Poborchi, Однозначная разрешимость интегрального уравнения для гармонического потенциала простого слоя на границе области с пиком .
(PDF) V. Maz'ya, R. McOwen On the Fundamental Solution of an Elliptic Equation in Nondivergence Form.
(PDF) F. Lanzara, V. Maz'ya, G. Schmidt, Approximate Hermite quasi-interpolation
(PDF) S. Costea ̧V. Maz'ya, Conductor inequalities and criteria for Sobolev-Lorentz two-weight inequalities.
(PDF) V. Maz'ya, T. Shaposhnikova, A collection of sharp dilation invariant inequalities for diﬀerentiable functions

2007:

(PDF) V. Maz'ya, A. Movchan, Uniform asymptotics of Green's kernels for mixed and Neumann roblems in domains with small holes and inclusions..
(PDF) S. Mayboroda, V. Maz'ya, Boundedness of the gradient and Wiener test for solutions of the biharmonic equation.
(PDF) J. Lang, V. Maz'ya, Essential norms and localization moduli of Sobolev embeddings for general domains .
(PDF) A. Cianchi, V. Maz'ya, Neumann problems and isocapacitary inequalities.
(PDF) V. Maz'ya, A. Movchan, M. Nieves, Uniform asymptotic formulae for Green's tensors in elastic singularly perturbed domains with multiple inclusions.
(PDF) V. Maz'ya, G. Schmidt, Approximate Approximations.
(PDF) O. Costin, V. Maz'ya, Sharp Hardy-Leray inequality for axisymmetric divergence-free fields.
(PDF) F. Lanzara, V. Maz'ya, G. Schmidt, Approximate approximations on nonuniform grids.
(PDF) V. Maz'ya, A. Movchan, M. Nieves, Uniform asymptotic formulae for Green's tensors in elastic singularly perturbed domains.
(PDF) V. Maz'ya, M. Mitrea, T. Shaposhnikova. The Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficients.
(PDF) V. Maz'ya, S. Poborchi, О разрешимости задачи Неймана в области с пиком.
(PDF) V. Maz'ya, J. Rossmann, A maximum modulus estimate for solutions of the Navier-Stokes system in domains of polyhedral type.

2006:

(PDF) V. Maz'ya, S. Poborchi, On solvability of the Neumann problem in energy space for a domain with peak.
(PDF) S. Mayboroda, V. Maz'ya, Boundedness of the Hessian of a biharmonic function in a convex domain.
(PDF) G. Kresin, V. Maz'ya, Sharp pointwise estimates for solutions of strongly elliptic second order systems with boundary data from L^p.
(PDF) V. Maz'ya, A new type of integral equations related to the co-area formula (Reduction of dimension in multi-dimensional integral equations).
(PDF) V. Maz'ya, Bourgain-Brezis type inequality with explicit constants.
(PDF) G. Luo, V. Maz'ya, Weighted positivity of second order elliptic systems.
(PDF) V. Mazya, A. Movchan, Uniform asymptotic approximations of Green's functions in a long rod.
(PDF) Мазья, В., Поборчий, С., Теоремы вложения и продолжения для функций в нелипшицевых областях.
(PDF) G. Kresin, V. Maz'ya, Sharp Real Part Theorems.
(PDF) G. Kresin, V. Maz'ya, Sharp Bohr's type real part theorem.
(PDF) F. Lanzara, V. Maz'ya, G. Schmidt, Approximate approximations with data on a perturbed uniform grid.
(PDF) V. Maz'ya, G. Schmidt, Potentials of Gaussians and approximate wavelets.
(PDF) V. Kondratiev, V. Maz'ya, M. Shubin, Gauge optimization and spectral properties of magnetic Schroedinger operators, arXiv:math. SP/0601057.
(PDF) A. Cialdea, V. Maz'ya, Criteria for the L^p-dissipativity of systems of second order differential equations.
(PDF) V. Maz'ya, J. Rossmann, Mixed boundary value problems for the Navier-Stokes system in polyhedral domains.
(PDF) S. Filippas, V. Maz'ya, A. Tertikas, Critical Hardy-Sobolev inequalities.
(PDF) V. Maz'ya, A. Movchan, Uniform asymptotic formulae for Green's functions in singularly perturbed domains.
(PDF) V. Maz'ya, A. Movchan, Uniform asymptotic formulae for Green's kernels in regularly and singularly perturbed domains.

2005:

(PDF) V.Mazya, S.Poborchi, Embedding theorems for Sobolev spaces in a domain with cusp and in a Hölder domain, (Russian).
(PDF) F. Lanzara, V.Maz'ya, G.Schmidt, Approximate approximations from scattered data.
(PDF) V. Maz'ya, T. Shaposhnikova, Higher regularity in the layer potential theory for Lipschitz domains, Indiana University Mathematics Journal, 54, no.1, 99-142.
(PDF) V. Maz'ya, T. Shaposhnikova, Traces of multipliers in pairs of weighted Sobolev spaces Journal of Function Spaces and Applications, 3, 91-115.
(PDF) V. Mazya, J. Rossmann, Schauder estimates for solutions to a mixed boundary value problems for Stokes system in polyhedral domains.
(PDF) V. Maz'ya, R. McOwen, Asymptotics for solutions of elliptic equations in double divergence form.
(PDF) V. Maz'ya, M. Shubin, Can one see the fundamental frequency of a drum? (to appear in Letters in Mathematical Physics).
(PDF) V. Maz'ya, Analytic criteria in the qualitative spectral analysis of the Schrödinger operator, (to appear in B. Simon's Festschrift, "Proceedings of Symposia in Pure Mathematics")
(PDF) V. Maz'ya, Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev type imbeddings, Journal of Functional Analysis, 224, no. 2, 408-430.
(PDF) V. Kozlov, V. Maz'ya, Asymptotic formula for solutions to elliptic equations near the Lipschitz boundary, Ann. Mat. Pura ed Appl., 184, no. 2, 185-213.
(PDF) Maz'ya, V., Shubin, M., Discreteness of spectrum and positivity criteria for Schrödinger operators, Annals of Mathematics, 162, 1-24.
(PDF) A. Cialdea, V. Maz'ya, Criterion for the L_p-dissipativity of second order differential operators with complex coefficients, Journal de Mathématiques Pures et Appliquées, 84, 1067-1100.

2004:

(PDF) S. Filippas, V. Maz'ya, A. Tertikas, On a question of Brezis and Marcus.
(PDF) V. Maz'ya, J. Rossmann, Pointwise estimates for Green's kernel of a mixed boundary value problem to the Stokes system in a polyhedral cone.
(PDF) V. Maz'ya and J. Rossmann, L_p estimates of solutions to mixed boundary value problems for the Stokes system in polyhedral domains.
(PDF) V. Maz'ya, I. Verbitsky, Form boundedness of the general second order differential operator (to appear in Comm. Pure Appl. Math.).
(PDF) V. Maz'ya, I. Verbitsky, The form boundedness criterion for the relativistic Schrödinger operator.
(PDF) E. Gibiansky , V. Maz'ya and A. Movchan, Three-scale asymptotics for a diffusion problem coupled with the wave equation (to appear in Applicable Analysis).
(PDF) S. Filippas, V. Maz'ya, A. Tertikas, Sharp Hardy-Sobolev inequalities, C.R. Acad. Sci. Paris, 339, no. 7, pp 483-486.
(PDF) G. Kresin and V. Maz'ya, Sharp pointwise estimates for analytic functions by L_p-norm of the real part, Complex Variables, 49, no.14, 997-1023.
(PDF) V. Maz'ya, Conductor inequalities and criteria for Sobolev type two-weight imbeddings (to appear in the Journal of Computational and Applied Mathematics).
(PDF) V. G. Maz'ya and I. E. Verbitsky, Infinitesimal form boundedness and Trudinger's subordination for the Schrödinger operator (to appear in Inventiones Mathematicae).
(PDF) V. Maz'ya and T. Shaposhnikova, Characterization of multipliers in pairs of Besov spaces, Operator Theoretical Methods and Applications to Mathematical Physics: The Erhard Meister Memorial Volume, Birkhäuser, pp 365-387.
(PDF) V. Kondratiev, V. Maz'ya, M. Shubin, Discreteness of spectrum and strict positivity criteria for magnetic Schrödinger operators, Comm. Partial Differential Equations, 29, no. 3-4, pp 489-521.
(PDF) Maz'ya, V., Roßmann, J., Schauder estimates for solutions to boundary value problems for second order elliptic systems in polyhedral domains, Appl. Analysis, 83, no. 3, pp 271-308.
(PDF) V. Maz'ya, J. Elschner, J. Rehberg, G. Schmidt, Solutions for quasilinear nonsmooth evolution systems in L_p, Archive for Rat. Mech. Analysis, 171, no. 2, pp 219-262.
(PDF) V. Kozlov, V. Maz'ya, An asymptotic theory of higher order operator differential equations with nonsmooth nonlinearities, Journal of Functional Analysis, 217, pp 448-488.
(PDF) V. Maz'ya, A. Slutskii, Asymptotic solution to the Dirichlet problem for a two-dimensional Riccati's type equation near a corner point, Asymptotic Analysis, 39, no. 2, pp 169-185.
(PDF) F. Lanzara, V. Maz'ya, G. Schmidt, Numerical solution of the Lippmann-Schwinger equation by approximate approximations, Journal of Fourier Analysis and Applications, 10, no. 6, 645-660.

2003:

(PDF) V. Maz'ya, Lectures on isoperimetric and isocapacitary inequalities in the theory of Sobolev spaces, Contemporary Mathematics, 338, Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces, American Math. Society, pp 307-340.
(PDF) V. Kozlov, V. Maz'ya, Asymptotic formula for solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients near the boundary, Ann. Scuola. Norm. Sup. Pisa, 2, no 3, pp 551-600.
(PDF) H. Hellsten, V. Maz'ya, B. Vainberg, The spectrum of water waves produced by moving point sources, and a related inverse problem, Wave Motion, 38, pp 345-354.
(PDF) V. Karlin, V. Maz'ya, G. Schmidt, High accuracy periodic solutions to the Sivashinsky equation, Journal of Computational Physics, , pp 209-231.
(PDF) V. Maz'ya, J. Roßmann, Weighted L_p estimates of solutions to boundary value problems for second order elliptic systems in polyhedral domains, Z. Angew. Math. Mech., 83, no. 7, pp 435-467.
(PDF) V. Maz'ya, G. Schmidt, W. Wendland, On the computation of multi-dimensional single layer harmonic potentials via approximate approximations, Calcolo, 40, no. 1, pp 33-53.
(PDF) V.A. Kozlov, V. 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, 75-115, Birkhäuser.

2002:

(PDF) V. Maz'ya, I. Verbitsky, The Schrödinger operator on the energy space: boundedness and compactness criteria, Acta Mathematica, 188, pp 263--302.
(PDF) V. Maz'ya and T. Shaposhnikova, On the Brezis and Mironescu conjecture concerning a Gagliardo-Nirenberg inequality for fractional Sobolev norms, Journal de Mathématiques Pures et Appliquées, 81, pp 877-884.
(PDF) V. Maz'ya and T. Shaposhnikova, On the Bourgain, Brezis, and Mironescu Theorem Concerning Limiting Embeddings of Fractional Sobolev Spaces, Journal of Functional Analysis, 195, pp 230-238.
(PDF) V. Maz'ya, T. Shaposhnikova, Sharp pointwise interpolation inequalities for derivatives, Journal of Functional Analysis and its Applications, 36, no. 1, pp 36-58.
(PDF) V. Maz'ya, J. Roßmann, Point estimates for Green's matrix to boundary value problems for second order elliptic systems in a polyhedral cone, Z. Angew. Math. Mech., 82, no. 5, pp 291-316.
(PDF) V. Maz ya, T. Shaposhnikova, An elementary proof of the Brezis and Mironescu theorem on the composition operator in fractional Sobolev spaces, Journal of Evolution Equations, 2, pp 113-125.
(PDF) V. Maz'ya, The Wiener test for higher order elliptic equations, Duke Mathematical Journal, 115, no. 3, pp 479-512.

2001:

(PDF) V. Maz'ya and A. S. Slutskii, Asymptotic analysis of the Navier-Stokes system in a plane domain with thin channels, Asymptotic Analysis, 23, no. 1, pp 59-89.

1999:

(PDF) V. Kozlov, V. Maz'ya, Angle singularities of solutions to the Neumann problem for the two-dimensional Riccati's equation, Asymptotic Analysis, 19, no. 1, pp 57-79.

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