Serrin's type overdetermined problems in convex cones
Analysis of PDEs
2018-06-28 v2
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.
Keywords
Cite
@article{arxiv.1806.08553,
title = {Serrin's type overdetermined problems in convex cones},
author = {Giulio Ciraolo and Alberto Roncoroni},
journal= {arXiv preprint arXiv:1806.08553},
year = {2018}
}
Comments
We added references in the bibliography