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The best modulus of
continuity for solutions of the minimal surface equation
Graham H. Williams |
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Vol. 129 (1987), No. 1, 193–208
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Abstract |
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We consider the Dirichlet problem for the minimal surface equation on a bounded domain in Rn which has nonnegative mean curvature. We give a modulus of continuity for the solution u in terms of the modulus of continuity of the boundary values ϕ. The modulus obtained is shown to be best possible. |
Mathematical Subject Classification 2000
Primary: 35J65
Secondary: 35B65, 53A10, 49F10
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Milestones
Received: 12 December 1985
Published: 1 September 1987
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Authors |
| Graham H. Williams | |
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