Quasilinear problems without the Ambrosetti-Rabinowitz condition
Analysis of PDEs
2021-11-09 v2
Abstract
We show the existence of nontrivial solutions for a class of highly quasilinear problems in which the governing operators depend on the unknown function. By using a suitable variational setting and a weak version of the Cerami-Palais-Smale condition, we establish the desired result without assuming that the nonlinear source satisfies the Ambrosetti-Rabinowitz condition.
Cite
@article{arxiv.1911.03910,
title = {Quasilinear problems without the Ambrosetti-Rabinowitz condition},
author = {Anna Maria Candela and Genni Fragnelli and Dimitri Mugnai},
journal= {arXiv preprint arXiv:1911.03910},
year = {2021}
}