Schr\"odinger-Poisson systems with a general critical nonlinearity
Analysis of PDEs
2015-12-15 v2
Abstract
We consider a Schr\"odinger-Poisson system involving a general nonlinearity at critical growth and we prove the existence of positive solutions. The Ambrosetti-Rabinowitz condition is not required. We also study the asymptotics of solutions with respect to a parameter.
Keywords
Cite
@article{arxiv.1501.01110,
title = {Schr\"odinger-Poisson systems with a general critical nonlinearity},
author = {Jianjun Zhang and João Marcos do Ó and Marco Squassina},
journal= {arXiv preprint arXiv:1501.01110},
year = {2015}
}
Comments
13 pages, typos corrected