Existence results for the mean curvature equation
โ Scribed by P. Amster; M.C. Mariani
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 112 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
We establish two comparison results, between the solutions of a class of mean curvature equations and pieces of arcs of circles that satisfy the same Neumann boundary condition. Finally we present a number of examples where our estimates can be applied; some of them have a physical motivation.
We study the prescribed mean curvature equation for nonparametric surfaces, obtaining existence and uniqueness results in the Sobolev space W 2;p . We also prove that under appropriate conditions the set of surfaces of mean curvature H is a connected subset of W 2;p . Moreover, we obtain existence r