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The prescribed mean curvature equation with Dirichlet conditions

✍ Scribed by P. Amster; M.C. Mariani

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
70 KB
Volume
44
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

On some estimate for solutions of Dirich
On some estimate for solutions of Dirichlet problem of prescribed mean curvature equation
✍ Masao Nakatani πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 230 KB

There is the result of Ladyzhenskaya and Ural'ceva [3] concerning interior estimates for solutions of Dirichlet problem of prescribed mean curvature equation. Here along the line in [3] we give some boundary estimate for these solutions.

The prescribed mean curvature equation f
The prescribed mean curvature equation for nonparametric surfaces
✍ P. Amster; M.C. Mariani πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 112 KB

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