Calculus of Variations and Geometric Measure Theory

G. Ciraolo - A. Roncoroni

Serrin's type overdetermined problems in convex cones

created by roncoroni on 05 Nov 2020

[BibTeX]

Accepted Paper

Inserted: 5 nov 2020
Last Updated: 5 nov 2020

Journal: Calculus of Variations and Partial Differential Equations
Year: 2020
Doi: https://doi.org/10.1007/s00526-019-1678-x

ArXiv: 1806.08553 PDF

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.