Abstract
We consider a partially overdetermined problem for anisotropic N-Laplace equations in a convex cone Sigma intersected with the exterior of a bounded domain Omega in {mathbb {R}}^N, Nge 2. Under a prescribed logarithmic condition at infinity, we prove a rigidity result by showing that the existence of a solution implies that Sigma cap Omega must be the intersection of the Wulff shape and Sigma . Our approach is based on a Pohozaev-type identity and the characterization of minimizers of the anisotropic isoperimetric inequality inside convex cones.
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