Published Paper
Inserted: 21 oct 2022
Last Updated: 17 oct 2023
Journal: Calc. Var.
Year: 2020
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.