On the Dirichlet problem for prescribed mean curvature equation over general domains

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dc.creatorBergner, Matthias
dc.date2007-12-06
dc.date.accessioned2026-07-07T08:47:41Z
dc.date.available2026-07-07T08:47:41Z
dc.descriptionWe study and solve the Dirichlet problem for graphs of prescribed mean curvature in $\mathbb R^{n+1}$ 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.
dc.identifierhttps://arxiv.org/abs/0712.0966
dc.identifierhttp://arxiv.org/abs/0712.0966
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143686
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53A10
dc.titleOn the Dirichlet problem for prescribed mean curvature equation over general domains
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