Another proof of a Lions type existence result
Analysis of PDEs
2020-11-19 v1 Functional Analysis
Abstract
This paper concerns a nonlinear elliptic equation involving a critical Sobolev growth and a lower-order term. Under a Lions's condition, we prove the existence of at least one positive solution. Our approach consists in constructing a relatively compact Palais--Smale sequence for the associated variational problem.
Cite
@article{arxiv.2011.09368,
title = {Another proof of a Lions type existence result},
author = {Zakaria Boucheche},
journal= {arXiv preprint arXiv:2011.09368},
year = {2020}
}
Comments
10 pages