On the smoothness and behavior of a solution of a nonlinear elliptic Dirichlet problem in a neighborhood of a singular boundary point (Q1120062)
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scientific article; zbMATH DE number 4099778
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the smoothness and behavior of a solution of a nonlinear elliptic Dirichlet problem in a neighborhood of a singular boundary point |
scientific article; zbMATH DE number 4099778 |
Statements
On the smoothness and behavior of a solution of a nonlinear elliptic Dirichlet problem in a neighborhood of a singular boundary point (English)
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1986
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The author establishes the Hölder continuity of \(W^ m_ p(\Omega)\) solutions of the variational problem \[ \int_{\Omega}F(x,u,Du,...,D^ mu)dx=\min !, \] subject to Dirichlet boundary conditions, in the case mp\(\geq n\), where \(\Omega\) is a (possibly unbounded) domain in \({\mathbb{R}}^ n\).
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Hölder continuity
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variational problem
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Dirichlet boundary conditions
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