Infinitely many solutions for semilinear nonlocal elliptic equations under noncompact settings
Analysis of PDEs
2015-03-10 v2
Abstract
In this paper, we study a class of semilinear nonlocal elliptic equations posed on settings without compact Sobolev embedding. More precisely, we prove the existence of infinitely many solutions to the fractional Brezis-Nirenberg problems on bounded domain.
Cite
@article{arxiv.1404.1132,
title = {Infinitely many solutions for semilinear nonlocal elliptic equations under noncompact settings},
author = {Woocheol Choi and Jinmyoung Seok},
journal= {arXiv preprint arXiv:1404.1132},
year = {2015}
}
Comments
29 pages, Typos are fixed, Intro and refereces are extended