The Dirichlet problem by variational methods

DOI10.1112/blms/bdm091zbMath1167.35011OpenAlexW2088397576MaRDI QIDQ5459247

Daniel Daners, Wolfgang Arendt

Publication date: 25 April 2008

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdm091

zbMATH Keywords

Dirichlet problemvariational methodsPerron solutionHadamard's objection

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (9)

The biharmonic Alt-Caffarelli problem in 2D ⋮ The Perron solution for vector-valued equations ⋮ The Dirichlet problem without the maximum principle ⋮ Trace operator and the Dirichlet problem for elliptic equations on arbitrary bounded open sets ⋮ A solution between sub- and supersolutions for semilinear elliptic equations with a nonlocal term in a continuous setting ⋮ The Dirichlet-to-Neumann operator on exterior domains ⋮ Dirichlet regularity and degenerate diffusion ⋮ Variational and Perron-Wiener solutions in stratified Lie groups ⋮ Operators with continuous kernels

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