Characterizations to the fractional Sobolev inequality
Classical Analysis and ODEs
2013-12-12 v1 Functional Analysis
Abstract
We characterize the fractional Sobolev inequality with fractional isocapacitary and isoperimetric inequalities. We give a sufficient condition and examples so that the fractional capacity of the closure of an open set is bounded above by the fractional perimeter of its interior.
Keywords
Cite
@article{arxiv.1312.3135,
title = {Characterizations to the fractional Sobolev inequality},
author = {Ritva Hurri Syrjänen and Antti V. Vähäkangas},
journal= {arXiv preprint arXiv:1312.3135},
year = {2013}
}