The Dirichlet problem for a prescribed anisotropic mean curvature equation: existence, uniqueness and regularity of solutions

We discuss existence, uniqueness, regularity and boundary behaviour of solutions of the Dirichlet problem for the prescribed anisotropic mean curvature equation−div(∇u/1+|∇u|2)=−au+b/1+|∇u|2, where a,b>0 are given parameters and Ω is a bounded Lipschitz domain in RN. This equation appears in the...

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Veröffentlicht in:	Journal of Differential Equations 2016-03, Vol.260 (5), p.4572-4618
Hauptverfasser:	Corsato, Chiara, De Coster, Colette, Omari, Pierpaolo
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary behaviour Bounded variation function Dirichlet boundary condition Existence Mathematics Positive solution Prescribed anisotropic mean curvature equation Regularity Uniqueness Variational methods
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