Serrin's type overdetermined problems in convex cones

Published 22 Jun 2018 in math.AP | (1806.08553v2)

Abstract: We consider overdetermined problems of Serrin's type in convex cones for (possibly) degenerate operators in the Euclidean space as well as for a suitable generalization to space forms. We prove rigidity results by showing that the existence of a solution implies that the domain is a spherical sector.

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