Convergence of surfaces of prescribed mean curvature
β Scribed by Frank Pacard
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 599 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
## Abstract We study the flow __M~t~__ of a smooth, strictly convex hypersurface by its mean curvature in β^__n__ + 1^. The surface remains smooth and convex, shrinking monotonically until it disappears at a critical time __T__ and point __x__^\*^ (which is due to Huisken). This is equivalent to sa