Rigidity of Serrin-type problems via integral identities
Differential Geometry
2025-04-17 v1 Analysis of PDEs
Abstract
In this short note, we deal with Serrin-type problems in Riemannian manifolds. Firstly, we provide a Soap Bubble type theorem and rigidity results. In another direction, we obtain a rigidity result addressed to annular regions in Einstein manifolds endowed with a conformal vector field.
Cite
@article{arxiv.2504.11996,
title = {Rigidity of Serrin-type problems via integral identities},
author = {Jaqueline de Lima and Márcio Santos and Joyce Sindeaux},
journal= {arXiv preprint arXiv:2504.11996},
year = {2025}
}