Mayboroda, S., & Maz'ya, V. (2015). Boundedness of the gradient of a solution and Wiener test of order one for the biharmonic equation. Retrieved from http://arxiv.org/abs/1508.04492v1
Maz'ya, V., & McOwen, R. (2010). Differentiability of Solutions to Second-Order Elliptic Equations via Dynamical Systems. Retrieved from http://arxiv.org/abs/1004.1618v2
Asymptotic treatment of perforated domains without homogenization (Journal article)
Maz'ya, V., & Movchan, A. (2010). Asymptotic treatment of perforated domains without homogenization. Math. Nachr., 283(1), 104-125.
Boundary integral equations on contours with peaks (Book)
Maz'ya, V. G., & Soloviev, A. A. (2010). Boundary integral equations on contours with peaks. Basel: Birkhauser Verlag, Springer.
Elliptic equations in polyhedral domains (Book)
Mazya, V., & Rossmann, J. (2010). Elliptic equations in polyhedral domains. Providence: Mathematical Surveys and Monographs, 162..
Green kernels for transmission problems in bodies with small inclusions, Operator Theory and its Applications. In memory of V.B. Lidsky (1924-2008) (Journal article)
Maz'ya, V., Movchan, A., & Nieves, M. (2010). Green kernels for transmission problems in bodies with small inclusions, Operator Theory and its Applications. In memory of V.B. Lidsky (1924-2008). Amer. Math. Soc. Transl., 231(2), 127-160.
On solvability of boundary integral equations of potential theory for a multidimentional cusp domain (Journal article)
Maz'ya, V., & Poborchii, S. (2010). On solvability of boundary integral equations of potential theory for a multidimentional cusp domain. Journal of Mathematical Sciences,, 164(3), 403-414.
On the fundamental solution of an elliptic equation in nondivergence form, Nonlinear Partial Differential Equations and Related Topics (Journal article)
Mazya, V., & McOwen, R. (2010). On the fundamental solution of an elliptic equation in nondivergence form, Nonlinear Partial Differential Equations and Related Topics. Amer. Math. Soc. Transl., 229(2), 145-172.
Cialdea, A., & Maz'ya, V. (2009). A quasi-commutativity property of the Poisson and composition operators. Retrieved from http://arxiv.org/abs/0910.5750v1
Kresin, G., & Maz'ya, V. (2009). Optimal estimates for the gradient of harmonic functions in the multidimensional half-space. Retrieved from http://arxiv.org/abs/0909.1932v1
Alvino, A., Cianchi, A., Maz'ya, V., & Mercaldo, A. (2009). Well-posed elliptic Neumann problems involving irregular data and domains. Retrieved from http://dx.doi.org/10.1016/j.anihpc.2010.01.010
Jin, T., Maz'ya, V., & Schaftingen, J. V. (2009). Pathological solutions to elliptic problems in divergence form with continuous coefficients. C. R. Math. Acad. Sci. Paris 347 (2009), no. 13-14, 773-778. Retrieved from http://dx.doi.org/10.1016/j.crma.2009.05.008
Luo, G., & Maz'ya, V. G. (2009). Wiener Type Regularity of a Boundary Point for the 3D Lamé System. Potential Anal. 32 (2), pp. 133--151, 2010. Retrieved from http://arxiv.org/abs/0901.3186v1
On representation of the solution of the Neumann problem in a domain with peak by the harmonic simple layer potential (Journal article)
Maz'ya, V., & Poborchii, S. (2009). On representation of the solution of the Neumann problem in a domain with peak by the harmonic simple layer potential. Vestnik St. Petersburg Univ. Math., 42(3), 185-193.
On the boundedness of first derivatives for solutions to the Neumann-Laplace problem in a convex domain (Journal article)
Maz'ya, V. G. (2009). On the boundedness of first derivatives for solutions to the Neumann-Laplace problem in a convex domain. Unknown Journal, 159(1), 104-112.
The nonhomogeneous Dirichlet problem for the Stokes system in Lipschitz domains with unit normal close to VMO (Journal article)
Maz'ya, V., Mitrea, M., & Shaposhnikova, T. (2009). The nonhomogeneous Dirichlet problem for the Stokes system in Lipschitz domains with unit normal close to VMO. Funct. Anal. Appl., 43(3), 217-235.
Theory of Sobolev Multipliers with Applications to Differential and Integral Operators (Book)
Maz'ya, V., & Shaposhnikova, T. (2009). Theory of Sobolev Multipliers with Applications to Differential and Integral Operators (Vol. 337). Berlin: Springer.
Uniform asymptotics of Green's kernels for mixed and Neumann problems in domains with small holes and inclusions (Journal article)
Maz'ya, V., & Movchan, A. (2009). Uniform asymptotics of Green's kernels for mixed and Neumann problems in domains with small holes and inclusions. Sobolev Spaces in Mathematics. III, Int. Math. Ser. (N. Y.), Springer, New York,, 10, 277-316.
Unique solvability of the integral equation for harmonic simple layer potential on the boundary of a domain with a peak (Journal article)
Maz'ya, V., & Poborchii, S. (2009). Unique solvability of the integral equation for harmonic simple layer potential on the boundary of a domain with a peak. Unknown Journal, 42(2), 120-129.
Uniqueness of the solution of an inverse problem of thermoelasticity (Journal article)
Kozlov, V. A., Maz'ya, V. G., & Fomin, A. V. (2009). Uniqueness of the solution of an inverse problem of thermoelasticity. Zh. Vychisl. Mat. Mat. Fiz. (Russian), 49(3), 542-548.
2008
Uniform asymptotic approximations of Green's functions in a long rod (Journal article)
Maz'ya, V., & Movchan, A. (2008). Uniform asymptotic approximations of Green's functions in a long rod. Mathematical Methods in the Applied Sciences, 31(17), 2055-2068. doi:10.1002/mma.1006
Maz'ya, V. (2008). Boundedness of the gradient of a solution to the Neumann-Laplace problem in a convex domain. Retrieved from http://arxiv.org/abs/0809.2514v2
Costea, S., & Maz'ya, V. (2008). Conductor inequalities and criteria for Sobolev-Lorentz two-weight inequalities. Retrieved from http://arxiv.org/abs/0804.3051v1
Maz'ya, V., & Shaposhnikova, T. (2008). A collection of sharp dilation invariant inequalities for differentiable functions. Retrieved from http://arxiv.org/abs/0802.3209v2
A Collection of sharp dilation invariant integral inequalities for differentiable functions (Journal article)
Maz'ya, V., & Shaposhnikova, T. (2008). A Collection of sharp dilation invariant integral inequalities for differentiable functions. Sobolev Spaces in Mathematics I. Sobolev Type Inequalities, 223-248.
Approximate approximations with data on a perturbed uniform grid. (Journal article)
Lanzara, F., Maz'ya, V., & Schmidt, G. (2008). Approximate approximations with data on a perturbed uniform grid.. Z. Anal. Anwend., 27(3), 323-338.
Boundedness of the gradient of a solution and Wiener test of order one for the biharmonic equation (Journal article)
Mayboroda, S., & Maz'ya, V. (2008). Boundedness of the gradient of a solution and Wiener test of order one for the biharmonic equation. Invent. Math., 175(no. 2), 287-334.
Conductor inequalities and criteria for Sobolev-Lorentz two-weight inequalities (Journal article)
Costea, S., & Maz'ya, V. (2008). Conductor inequalities and criteria for Sobolev-Lorentz two-weight inequalities. Sobolev Spaces in Mathematics II. Applications in Analysis and Partial Differential Equations, 103-122.
Essential norms and localization moduli of Sobolev embeddings for general domains. (Journal article)
Lang, J., & Maz'ya, V. (2008). Essential norms and localization moduli of Sobolev embeddings for general domains.. J. Lond. Math. Soc. (2), 78(2), 373-391.
Jacques Hadamard, Legend of Mathematics (Book)
Maz'ya, V., & Shaposhnikova, T. (2008). Jacques Hadamard, Legend of Mathematics. Moscow: MCNMO Publishers.
Mixed boundary value problems for the stationary Navier-Stokes System in polyhedral domains (Journal article)
Maz'ya, V., & Rossmann, J. (2008). Mixed boundary value problems for the stationary Navier-Stokes System in polyhedral domains. Arch. Rational Mech. Anal..
Neumann problems and isocapacitary inequalities (Journal article)
Cianchi, A., & Maz'ya, V. (2008). Neumann problems and isocapacitary inequalities. J. Math. Pures Appl. (9), 89(1), 71-105.
On the solvability of the Neumann problem for a planar domain with a peak. (Journal article)
Maz'ya, V. G., & Poborchii, S. V. (2008). On the solvability of the Neumann problem for a planar domain with a peak.. Vestnik St. Petersburg Univ. Math., 41(2), 145-160.
On the solvability of the Neumann problem in a domain with a cusp. (Russian) (Journal article)
Mazʹya, V. G., & PoborchiÄ, S. V. (2008). On the solvability of the Neumann problem in a domain with a cusp. (Russian). Algebra i Analiz, 20(5), 104-154.
Sobolev Spaces in Mathematics, I. (Book)
Maz'ya, V. (Ed.) (2008). Sobolev Spaces in Mathematics, I.. New York: Springer and T. Rozhkovskaya.
Sobolev Spaces in Mathematics, II. (Book)
Maz'ya, V. (Ed.) (2008). Sobolev Spaces in Mathematics, II.. New York: Springer and T. Rozhkovskaya.
Theory of Sobolev Multipliers with Applications to Differential and Integral Operators (Book)
Maz'ya, V., & Shaposhnikova, T. (2008). Theory of Sobolev Multipliers with Applications to Differential and Integral Operators (Vol. 337). Berlin: Springer.
Uniform asymptotic formulae for Green's tensors inelastic singularly perturbed domains with multiple inclusions (Journal article)
Maz'ya, V., Movchan, A., & Nieves, M. (2008). 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, 124, X(no. 1), 103-158.
Uniform asymptotics of Green's kernels for mixed and Neumann problems in domains with small holes and inclusions (Journal article)
Maz'ya, V., & Movchan, A. (2008). 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, 277-316.
Maz'ya, V. (2007). Analytic criteria in the qualitative spectral analysis of the Schroedinger operator. Retrieved from http://arxiv.org/abs/math/0702427v1
Maz'ya, V., Mitrea, M., & Shaposhnikova, T. (2007). The Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficients. Retrieved from http://arxiv.org/abs/math/0701898v1
Maz'ya, V., & Rossmann, J. (2007). A maximum modulus estimate for solutions of the Navier-Stokes system in domains of polyhedral type. Retrieved from http://arxiv.org/abs/math-ph/0701020v3
$L\sb p$ estimates of solutions to mixed boundary value problems for the Stokes system in polyhedral domains (Journal article)
Maz'ya, V., & Rossmann, J. (2007). $L\sb p$ estimates of solutions to mixed boundary value problems for the Stokes system in polyhedral domains. Math. Nachr., 280(7), 751-793.
A new type of integral equations related to the co-area formula (reduction of dimension in multi-dimensional integral equations) (Journal article)
Maz'ya, V. (2007). A new type of integral equations related to the co-area formula (reduction of dimension in multi-dimensional integral equations). J. Funct. Anal., 245(2), 493-504.
Approximate approximations (Book)
Maz'ya, V., & Schmidt, G. (2007). Approximate approximations. Providence, RI: American Mathematical Society.
Bourgain-Brezis type inequality with explicit constants (Journal article)
Maz'ya, V. (2007). Bourgain-Brezis type inequality with explicit constants. Contemporary Mathematics, 445, 247-264.
Embedding and extension theorems for functions in non-Lipschitz domains (Russian) (Book)
Maz'ya, V., & Poborchi, S. (2007). Embedding and extension theorems for functions in non-Lipschitz domains (Russian). St. Petersburg: St. Petersburg Publishers, Russia.
Neumann's problems and isocapacitary inequalities (Journal article)
Cianchi, A., & Maz'ya, V. (2007). Neumann's problems and isocapacitary inequalities. J. Math. Pures et Appl., 89, 71-105.
On solvability of the Neumann problem in an energy space for a domain with a peak (Journal article)
Maz'ya, V. G., & Poborchi, S. V. (2007). On solvability of the Neumann problem in an energy space for a domain with a peak. Georgian Math. J., 14(3), 499-518.
Potentials of Gaussians and approximate wavelets (Journal article)
Maz'ya, V., & Schmidt, G. (2007). Potentials of Gaussians and approximate wavelets. Math. Nachr., 280(no. 9-), 1176-1189.
Sharp Bohr type real part estimates (Journal article)
Kresin, G., & Maz'ya, V. (2007). Sharp Bohr type real part estimates. Comput. Methods Funct. Theory, 7(1), 151-165.
Sharp real-part theorems. A unified approach. (Book)
Gershon, K., & Vladimir, M. (2007). Sharp real-part theorems. A unified approach. (Vol. 1903). Berlin: Springer.
Uniform asymptotic formulae for Green's tensors in elastic singularly perturbed domains (Journal article)
Maz'ya, V. G., Movchan, A. B., & Nieves, M. J. (2007). Uniform asymptotic formulae for Green's tensors in elastic singularly perturbed domains. Asymptot. Anal., 52(3/4), 173-206.
Weighted positivity of second order elliptic systems (Journal article)
Luo, G., & Maz'ya, V. G. (2007). Weighted positivity of second order elliptic systems. Potential Anal., 27(3), 252-270.
Maz'ya, V., & McOwen, R. (2006). Asymptotics for solutions of elliptic equations in double divergence form. Retrieved from http://arxiv.org/abs/math/0602558v2
Maz'ya, V. G., & Rossmann, J. (2006). Mixed boundary value problems for the Navier-Stokes system in polyhedral domains. Retrieved from http://arxiv.org/abs/math-ph/0602054v1
Cialdea, A., & Maz'ya, V. (2006). Criteria for the $L^{p}$-dissipativity of systems of second order differential equations. Retrieved from http://arxiv.org/abs/math/0602382v1
Maz'ya, V., & Movchan, A. B. (2006). Uniform asymptotic formulae for Green's kernels in regularly and singularly perturbed domains. Retrieved from http://arxiv.org/abs/math/0601753v3
Maz'ya, V., & Movchan, A. (2006). Uniform asymptotic formulae for Green's functions in singularly perturbed domains. Retrieved from http://arxiv.org/abs/math/0601707v2
Kondratiev, V., Maz'ya, V., & Shubin, M. (2006). Gauge optimization and spectral properties of magnetic Schrödinger operators. Retrieved from http://arxiv.org/abs/math/0601057v1
Conductor inequalities and criteria for Sobolev type two-weight imbeddings (Journal article)
Maz'ya, V. (2006). Conductor inequalities and criteria for Sobolev type two-weight imbeddings. J. Comput. Appl. Math, 194(no. 1), 94-114.
On a question of Brezis and Marcus (Journal article)
Filippas, S., Maz'ya, V., & Tertikas, A. (2006). On a question of Brezis and Marcus. Calc. Var. Partial Differential Equations, 25(no. 4), 491-501.
Schauder estimates for solutions to a mixed boundary value problem for the Stokes system in polyhedral domains. (Journal article)
Maz'ya, V. G., & Rossmann, J. (2006). Schauder estimates for solutions to a mixed boundary value problem for the Stokes system in polyhedral domains.. Math. Methods Appl. Sci., 29(no. 9), 965-1017.
Theorems for embedding Sobolev spaces on domains with a peak and on Hölder domains (Journal article)
Maz'ya, V. G., & Poborchi, S. V. (2006). Theorems for embedding Sobolev spaces on domains with a peak and on Hölder domains. Algebra i Analiz, 18(no. 4), 95-126.
Maz'ya, V., & Shubin, M. (2005). Can one see the fundamental frequency of a drum?. Retrieved from http://dx.doi.org/10.1007/s11005-005-0010-1
Asymptotic formula for solutions to elliptic (Journal article)
Kozlov, V., & Maz'ya, V. (2005). Asymptotic formula for solutions to elliptic. Ann. Mat. Pura ed Appl., 184(2), 185-213.
Conductor and capacitary inequalities for functions on topological spaces and their applications (Journal article)
Maz'ya, V. (2005). Conductor and capacitary inequalities for functions on topological spaces and their applications. Journal of Functional Analysis, 224(2), 408-430.
Higher regularity in the classical layer potential theory for Lipschitz domains (Journal article)
Maz'ya, V., & Shaposhnikova, T. (2005). Higher regularity in the classical layer potential theory for Lipschitz domains. Indiana University mathematics Journal, 54(1), 99-142.
Jacques Hadamard, un Math\'ematicien Universel (Book)
Maz'ya, V., & Shaposhnikova, T. (2005). Jacques Hadamard, un Math\'ematicien Universel. Paris: EDP Sciences.
Traces of multipliers in pairs of weighted Sobolev spaces (Journal article)
Maz'ya, V., & Shaposhnikova, T. (2005). Traces of multipliers in pairs of weighted Sobolev spaces. Journal of Function Spaces and Applications, 3, 91-115.
Cialdea, A., & Maz'ya, V. (2004). Criterion for the $L^{p}$-dissipativity of second order differential operators with complex coefficients. Retrieved from http://arxiv.org/abs/math/0412225v1
Maz'ya, V. G., & Verbitsky, I. E. (2004). Form boundedness of the general second order differential operator. Retrieved from http://arxiv.org/abs/math/0411216v1
Maz'ya, V. G., & Verbitsky, I. E. (2004). Infinitesimal form boundedness and Trudinger's subordination for the Schrödinger operator. Invent. Math. 162 (2005), 81 - 136. Retrieved from http://dx.doi.org/10.1007/s00222-005-0439-y
Maz'ya, V., & Shubin, M. (2003). Discreteness of spectrum and positivity criteria for Schrödinger operators. Annals of Mathematics, 1(2), 919-942. Retrieved from http://arxiv.org/abs/math/0305278v3
