Limit of Fractional Power Sobolev Inequalities
Analysis of PDEs
2017-12-08 v2
Abstract
We derive the Moser-Trudinger-Onofri inequalities on the 2-sphere and the 4-sphere as the limiting cases of the fractional power Sobolev inequalities on the same spaces, and justify our approach as the dimensional continuation argument initiated by Thomas P. Branson.
Keywords
Cite
@article{arxiv.1704.06048,
title = {Limit of Fractional Power Sobolev Inequalities},
author = {Sun-Yung Alice Chang and Fang Wang},
journal= {arXiv preprint arXiv:1704.06048},
year = {2017}
}
Comments
17 pages