English

Optimal geometric estimates for fractional Sobolev capacities

Differential Geometry 2014-04-09 v1 Analysis of PDEs

Abstract

This note develops certain sharp inequalities relating the fractional Sobolev capacity of a set to its standard volume and fractional perimeter.

Keywords

Cite

@article{arxiv.1404.2245,
  title  = {Optimal geometric estimates for fractional Sobolev capacities},
  author = {Jie Xiao},
  journal= {arXiv preprint arXiv:1404.2245},
  year   = {2014}
}

Comments

6 pages

R2 v1 2026-06-22T03:46:11.274Z