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Hölder continuity of
the gradient at a corner for the capillary problem and
related results
Gary M. Lieberman |
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Vol. 133 (1988), No. 1, 115–135
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Abstract |
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It is well-known that solutions of the capillary problem are smooth when the boundary and contact angle are smooth. Using fairly deep methods which are specific to the capillary problem, Simon and Tam have proved the smoothness of the solution at a corner. Here the smoothness is considered in the context of general nonlinear boundary value problems. The primary tool is a maximum principle argument. |
Mathematical Subject Classification 2000
Primary: 35B65
Secondary: 35J60, 53A10
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Milestones
Received: 27 March 1987
Published: 1 May 1988
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Authors |
| Gary M. Lieberman | |
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