On the Serrin problem for ring-shaped domains: the n-dimensional case

2025/05/07 by Virginia Agostiniani, Agostiniani, Virginia, Chiara Bernardini +5
Computer Science · Mathematics · #35J25 #35N25 #53C21 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2505.04458

openalex publication_date 2025/05/07 · openalex created_date 2025/10/17 · openalex updated_date 2026/08/03

Abstract

We provide several characterizations of ring-shaped rotationally symmetric solutions to the Serrin problem in arbitrary dimensions.

Citations

• An overdetermined eigenvalue problem and the Critical Catenoid conjecture
• On the Serrin problem for ring-shaped domains
• Nontrivial solutions to Serrin's problem in annular domains
• Overdetermined problems with fractional Laplacian
• A symmetry problem in potential theory

Related

• Non-isoparametric Serrin domains of \mathbbS³ with connected toric boundary
• A Serrin-type problem with partial knowledge of the domain
• Serrin's overdetermined problem on the sphere
• Nontrivial solutions to Serrin's problem in annular domains
• Symmetry in Serrin-type overdetermined problems