Mountain pass solutions for quasi-linear equations via a monotonicity trick
Analysis of PDEs
2011-03-02 v1
Abstract
We obtain the existence of mountain pass solutions for quasi-linear equations without the typical assumptions which guarantee the boundedness of an arbitrary Palais-Smale sequence. This is done through a recent version of the monotonicity trick proved by the second author. The main results are new also for the p-Laplacian operator.
Cite
@article{arxiv.1103.0163,
title = {Mountain pass solutions for quasi-linear equations via a monotonicity trick},
author = {Benedetta Pellacci and Marco Squassina},
journal= {arXiv preprint arXiv:1103.0163},
year = {2011}
}
Comments
12 pages