Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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G. Ciraolo - A. Roncoroni

Serrin's type overdetermined problems in convex cones

created by roncoroni on 21 Oct 2022
modified on 17 Oct 2023


Published Paper

Inserted: 21 oct 2022
Last Updated: 17 oct 2023

Journal: Calc. Var.
Year: 2020

ArXiv: 1806.08553 PDF


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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