Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609714 | Journal of Differential Equations | 2016 | 47 Pages |
Abstract
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>0a,b>0 are given parameters and Ω is a bounded Lipschitz domain in RNRN. This equation appears in the modeling theory of capillarity phenomena for compressible fluids and in the description of the geometry of the human cornea.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chiara Corsato, Colette De Coster, Pierpaolo Omari,