The fractional Hartree equation without the Ambrosetti-Rabinowitz condition
Analysis of PDEs
2016-06-28 v1
Abstract
We consider a class of pseudo-relativistic Hartree equations in presence of general nonlinearities not satisfying the Ambrosetti-Rabinowitz condition. Using variational methods based on critical point theory, we show the existence of two non trivial signed solutions, one positive and one negative.
Keywords
Cite
@article{arxiv.1606.08211,
title = {The fractional Hartree equation without the Ambrosetti-Rabinowitz condition},
author = {Mauro Francesconi and Dimitri Mugnai},
journal= {arXiv preprint arXiv:1606.08211},
year = {2016}
}