On Surfaces of Prescribed Weighted Mean Curvature

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dc.creatorBergner, Matthias
dc.creatorDittrich, Jens
dc.date2007-11-15
dc.date.accessioned2026-07-07T08:43:06Z
dc.date.available2026-07-07T08:43:06Z
dc.descriptionUtilizing a weight matrix we study surfaces of prescribed weighted mean curvature which yield a natural generalisation to critical points of anisotropic surface energies. We first derive a differential equation for the normal of immersions with prescribed weighted mean curvature, generalising a result of Clarenz and von der Mosel. Next we study graphs of prescribed weighted mean curvature, for which a quasilinear elliptic equation is proved. Using this equation, we can show height and boundary gradient estimates. Finally, we solve the Dirichlet problem for graphs of prescribed weighted mean curvature.
dc.identifierhttps://arxiv.org/abs/0711.2406
dc.identifierhttp://arxiv.org/abs/0711.2406
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142199
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53A10
dc.titleOn Surfaces of Prescribed Weighted Mean Curvature
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