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Rigidity of Serrin-type problems via integral identities

2025/04/16 by de Lima, Jaqueline, Santos, Márcio, Sindeaux, Joyce
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2504.11996

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.

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