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On the dirichlet problem for surfaces of prescribed mean curvature

โœ Scribed by Mariano Giaquinta


Publisher
Springer
Year
1974
Tongue
English
Weight
409 KB
Volume
12
Category
Article
ISSN
0025-2611

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๐Ÿ“œ SIMILAR VOLUMES


On some estimate for solutions of Dirich
โœ Masao Nakatani ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.

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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