Ambrosetti-Rabinowitz theorems revisited
Analysis of PDEs
2013-10-30 v1
Abstract
We introduce tow assumptions weaker than the classical Ambrosetti-Rabinowitz and the subcritical polynomial growth conditions to obtain the Palais-Smale Condition. Therefore, we improve the Ambrosetti- Rabinowitz existence theorems. Also, we prove some existence results under a weaken subcritical polynomial growth conditions where the nonlinearity does not satisfy the super-quadratic condition and even it does not have any limits at infinity.
Cite
@article{arxiv.1310.7743,
title = {Ambrosetti-Rabinowitz theorems revisited},
author = {Abdellaziz Harrabi},
journal= {arXiv preprint arXiv:1310.7743},
year = {2013}
}