ON THE STABILITY OF THE WULFF SHAPE

Julien Roth (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

Given a positive function F on S n satisfying an appropriate con-vexity assumption, we consider hypersurfaces for which a linear combination of some higher order anisotropic curvatures is constant. We define the varia-tional problem for which these hypersurfaces are critical points and we prove that, up to translations and homotheties, the Wulff shape is the only stable closed hypersurface of the Euclidean space for this problem.

Domaines: Géométrie différentielle [math.DG]

Julien Roth. ON THE STABILITY OF THE WULFF SHAPE. 2015. ⟨hal-01228821v1⟩