Boundary regularity for solutions of a singular variational problem with linear growth (Q1119906)
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scientific article; zbMATH DE number 4098169
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundary regularity for solutions of a singular variational problem with linear growth |
scientific article; zbMATH DE number 4098169 |
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Boundary regularity for solutions of a singular variational problem with linear growth (English)
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1989
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We study the boundary behaviour for minimizers of a potential energy functional which is singular elliptic. In particular it is shown that a minimizer u is continuous up to the boundary, provided the boundary is mean convex and the prescribed boundary values are continuous. In this case, u assumes the boundary values classically. Using the barrier method we also give a sufficient condition for global Lipschitz-continuity.
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boundary regularity
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singular variational problem
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potential energy functional
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singular elliptic
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0.92193365
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