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Removable Singularities for Nonlocal Minimal Graphsopen access
- Authors
- Kim, Minhyun
- Issue Date
- Jan-2026
- Publisher
- Springer
- Keywords
- Nonlocal mean curvature; Nonlocal minimal graph; Removable singularity
- Citation
- Journal of Geometric Analysis, v.36, no.3, pp 1 - 19
- Pages
- 19
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Geometric Analysis
- Volume
- 36
- Number
- 3
- Start Page
- 1
- End Page
- 19
- ISSN
- 1050-6926
1559-002X
- Abstract
- We prove the removable singularity theorem for nonlocal minimal graphs. Specifically, we show that any nonlocal minimal graph in Omega\K, where Omega subset of Rn is an open set and K subset of Omega is a compact set of (s, 1)-capacity zero, is indeed a nonlocal minimal graph in all of Omega.
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Related Researcher
- Kim, Minhyun
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)