Removable Singularities for Nonlocal Minimal Graphs
Abstract
Abstract We prove the removable singularity theorem for nonlocal minimal graphs. Specifically, we show that any nonlocal minimal graph in $$\Omega \setminus K$$ Ω \ K , where $$\Omega \subset \mathbb {R}^n$$ Ω ⊂ R n is an open set and $$K \subset \Omega $$ K ⊂ Ω is a compact set of ( s , 1)-capacity zero, is indeed a nonlocal minimal graph in all of $$\Omega $$ Ω .
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Nonlinear Partial Differential Equations
Advanced Differential Geometry Research
Publication details
- Journal / source
- Journal of Geometric Analysis
- Volume
- 36
- Issue
- 3
- Publication date
- 30 January 2026
- Language
- EN