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Regularity of the Dirichlet problem in convex domains in the plane

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Publication:1345488
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DOI10.1307/mmj/1029005075zbMath0815.35011OpenAlexW1991262742MaRDI QIDQ1345488

Stephen J. Fromm

Publication date: 8 March 1995

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029005075


zbMATH Keywords

convex domains in the plane


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)


Related Items

On the boundedness of first derivatives for solutions to the Neumann-Laplace problem in a convex domain ⋮ Boundedness of the Hessian of a Biharmonic Function in a Convex Domain ⋮ Boundary value problems for the Laplacian in convex and semiconvex domains ⋮ Asymptotic formula for solutions to elliptic equations near the Lipschitz boundary ⋮ Behavior of Solutions to the Dirichlet Problem for Elliptic Systems in Convex Domains ⋮ Boundedness of the gradient of a solution to the Neumann-Laplace problem in a convex domain ⋮ Third derivative estimates for Dirichlet's problem in convex domains



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