A note on an overdetermined problem for the capacitary potential

2016/01/11 by Giulio Ciraolo, Ciraolo, Giulio, Chiara Bianchini +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #math.AP

paper · pdf · doi:10.48550/arxiv.1601.02538

7 pages. This paper has been written for possible publication in a special volume dedicated to the conference "Geometric Properties for Parabolic and Elliptic PDE's. 4th Italian-Japanese Workshop", organized in Palinuro in May 2015

arxiv created 2016/01/11 · openalex publication_date 2016/01/11 · arxiv updated 2016/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider an overdetermined problem arising in potential theory for the capacitary potential and we prove a radial symmetry result.

Citations

• Serrin-Type Overdetermined Problems: an Alternative Proof

Related

• An overdetermined problem for the anisotropic capacity
• Two symmetry problems in potential theory
• Radial symmetry for p-harmonic functions in exterior and punctured domains
• Riemannian aspects of potential theory
• Geometric aspects of p-capacitary potentials