Positive or sign-changing solutions for a critical semilinear nonlocal equation
Analysis of PDEs
2016-05-04 v1
Abstract
We consider the following critical semilinear nonlocal equation involving the fractional Laplacian where is a positive radial function, , , and . Under some asymptotic assumptions on at an extreme point, we show that this problem has infinitely many non-radial positive or sign-changing solutions.
Keywords
Cite
@article{arxiv.1511.06854,
title = {Positive or sign-changing solutions for a critical semilinear nonlocal equation},
author = {Wei Long and Jing Yang},
journal= {arXiv preprint arXiv:1511.06854},
year = {2016}
}