English

A class of overdetermined problem for fractional Capacity

Analysis of PDEs 2024-06-25 v1

Abstract

In this paper, we consider an unconventional overdetermined problem through a property of concavity, which provides some characterizations of balls via Brunn-Minkowski inequalities. In this setting, our rsults can be viewed as the generalization of pp-capacity in [14], which have its own interest.

Keywords

Cite

@article{arxiv.2406.15748,
  title  = {A class of overdetermined problem for fractional Capacity},
  author = {Lei Qin and Lu Zhang},
  journal= {arXiv preprint arXiv:2406.15748},
  year   = {2024}
}

Comments

This article was written in the summer of 2023, and still under review. All comments are welcome

R2 v1 2026-06-28T17:15:45.026Z