Global boundedness, interior gradient estimates, and boundary regularity for the mean curvature equation with boundary conditions (Q1774713)
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scientific article; zbMATH DE number 2168655
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global boundedness, interior gradient estimates, and boundary regularity for the mean curvature equation with boundary conditions |
scientific article; zbMATH DE number 2168655 |
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Global boundedness, interior gradient estimates, and boundary regularity for the mean curvature equation with boundary conditions (English)
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18 May 2005
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Summary: We obtain global estimates for the modulus, interior gradient estimates, and boundary Hölder continuity estimates for solutions \(u\) to the capillarity problem and to the Dirichlet problem for the mean curvature equation merely in terms of the mean curvature, together with the boundary contact angle in the capillarity problem and the boundary values in the Dirichlet problem.
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capillarity problem
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Dirichlet problem
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boundary contact angle
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