Preprint A24/2006
The $r$-stability of Hypersurfaces with Zero The $r$-stability of Hypersurfaces with Zero Gauss-Kronecker Curvature
Marcos Petrucio Cavalcante
Keywords: $r$-minimal immersions | $r$-stability | capacity
In this paper we give sufficient conditions for a bounded domain in a $r$-minimal hypersuface of the Euclidean space to be $r$-stable. The Gauss-Kronecker curvature of this hypersurfaces may be zero on a set of capacity zero.