Stability of the Wulff shape
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- by Bennett Palmer PDF
- Proc. Amer. Math. Soc. 126 (1998), 3661-3667 Request permission
Abstract:
We consider the functional of a hypersurface, given by a convex elliptic integrand with a volume constraint. We show that, up to homothety and translation, the only closed, oriented, stable critical point is the Wulff shape.References
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Additional Information
- Bennett Palmer
- Email: bennett.palmer@durham.ac.uk
- Received by editor(s): April 29, 1997
- Additional Notes: The author was supported by a DGICYT Grant No. SAB95-0494
- Communicated by: Peter Li
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 3661-3667
- MSC (1991): Primary 53A10; Secondary 52A15
- DOI: https://doi.org/10.1090/S0002-9939-98-04641-3
- MathSciNet review: 1473676