Subcritical and supercritical Klein-Gordon-Maxwell equations without Ambrosetti-Rabinowitz condition
Analysis of PDEs
2012-06-05 v1
Abstract
In this article we present some results on the existence of positive and ground state solutions for the nonlinear Klein-Gordon-Maxwell equations. We introduce a general nonlinearity with subcritical and supercritical growth which does not require the usual Ambrosetti-Rabinowitz condition. The proof is based on variational methods and perturbation arguments.
Keywords
Cite
@article{arxiv.1206.0495,
title = {Subcritical and supercritical Klein-Gordon-Maxwell equations without Ambrosetti-Rabinowitz condition},
author = {Patricia L. Cunha},
journal= {arXiv preprint arXiv:1206.0495},
year = {2012}
}