Hölder continuity of the gradient at a corner for the capillary problem and related results (Q1118751)
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scientific article; zbMATH DE number 4095997
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hölder continuity of the gradient at a corner for the capillary problem and related results |
scientific article; zbMATH DE number 4095997 |
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Hölder continuity of the gradient at a corner for the capillary problem and related results (English)
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1988
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The author considers the regularity of solutions of capillary-type equations with prescribed contact angle \(\phi\) in two-dimensional domains with corners. L. Simon proved \(C^ 1\)-regularity at corners with angle \(\theta\in (0,\Pi)\), \(\theta >| 2\phi -\Pi |\). This result is improved to \(C^{1,\alpha}\)-regularity for some \(\alpha\). More general quasilinear differential equations and more general boundary conditions are treated here.
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regularity
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capillary-type equations
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domains with corners
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quasilinear
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