On surfaces of prescribed weighted mean curvature
نویسندگان
چکیده
منابع مشابه
On Surfaces of Prescribed Weighted Mean Curvature
Utilizing 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 ...
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Hypersurfaces of prescribed weighted mean curvature, or F -mean curvature, are introduced as critical immersions of anisotropic surface energies, thus generalizing minimal surfaces and surfaces of prescribed mean curvature. We first prove enclosure theorems in R for such surfaces in cylindrical boundary configurations. Then we derive a general second variation formula for the anisotropic surfac...
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2008
ISSN: 0944-2669,1432-0835
DOI: 10.1007/s00526-008-0161-x