Behavior of Solutions to the Dirichlet Problem for Elliptic Systems in Convex Domains

DOI10.1080/03605300802523479zbMath1179.35117OpenAlexW2007996089MaRDI QIDQ3628742

Vladimir A. Kozlov

Publication date: 20 May 2009

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300802523479

zbMATH Keywords

Dirichlet problemelliptic systemsconvex domainsregularity of solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (1)

Dicrete Hölder estimates for a certain kind of parametrix. II

Cites Work

• Regularity of variational solutions to linear boundary value problems in Lipschitz domains
• Third derivative estimates for Dirichlet's problem in convex domains
• Regularity of the Dirichlet problem in convex domains in the plane
• Asymptotic formula for solutions to elliptic equations near the Lipschitz boundary
• Linear and quasilinear elliptic equations
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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