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Stability of the Wulff Shape

Author(s): Bennett Palmer
Journal: Proc. Amer. Math. Soc. 126 (1998), 3661-3667.
MSC (1991): Primary 53A10; Secondary 52A15
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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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5.: Wente, H. A note on the stability theorem of J. L. Barbosa and M. Do Carmo for closed surfaces of constant mean curvature. Pac. Math. J. ,Vol.147,No.2,1991. MR 92g:53010


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