Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach
Analysis of PDEs
2013-07-01 v1
Abstract
We investigate a natural approximation by subcritical Sobolev embeddings of the Sobolev quotient for the fractional Sobolev spaces for any , using -convergence techniques. We show that, for such approximations, optimal functions always exist and exhibit a concentration effect of the energy at one point.
Keywords
Cite
@article{arxiv.1306.6782,
title = {Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach},
author = {Giampiero Palatucci and Adriano Pisante and Yannick Sire},
journal= {arXiv preprint arXiv:1306.6782},
year = {2013}
}