On the Dirichlet problem for the prescribed mean curvature equation over general domains
نویسنده
چکیده
We study and solve the Dirichlet problem for graphs of prescribed mean curvature in R over general domains Ω without requiring a mean convexity assumption. By using pieces of nodoids as barriers we first give sufficient conditions for the solvability in case of zero boundary values. Applying a result by Schulz and Williams we can then also solve the Dirichlet problem for boundary values satisfying a Lipschitz condition. MSC2000: 53A10
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