Deforming convex hypersurfaces to a hypersurface with prescribed harmonic mean curvature
Abstract
A heat flow method is used to deform convex hypersurfaces in a ring domain to a hypersurface whose harmonic mean curvature is a prescribed function.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- January 2003
- DOI:
- 10.48550/arXiv.math/0301096
- arXiv:
- arXiv:math/0301096
- Bibcode:
- 2003math......1096J
- Keywords:
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- Mathematics - Analysis of PDEs;
- 35K45
- E-Print:
- 13pages