Rigidity of Serrin-Type Problems via Integral Identities

Potential Analysis 2026 Open access

Read full text
Authors: J. de Lima, Márcio S. Santos, Joyce S. Sindeaux
DOI: 10.1007/s11118-026-10315-7
Cited by: 0
References: 25

Abstract

Abstract In this brief note, we deal with Serrin-type problems on 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.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Geometric Analysis and Curvature Flows Stability and Controllability of Differential Equations

Publication details

Journal / source
Potential Analysis
Publisher
Springer Science and Business Media LLC
Volume
65
Issue
1
Publication date
1 June 2026
Language
EN