Multi-peak solutions for nonlinear Choquard equation with a general nonlinearity
Analysis of PDEs
2016-04-19 v1
Abstract
In this paper, we study a class of nonlinear Choquard type equations involving a general nonlinearity. By using the method of penalization argument, we show that there exists a family of solutions having multiple concentration regions which concentrate at the minimum points of the potential . Moreover, the monotonicity of and the so-called Ambrosetti-Rabinowitz condition are not required.
Cite
@article{arxiv.1604.04715,
title = {Multi-peak solutions for nonlinear Choquard equation with a general nonlinearity},
author = {Minbo Yang and Jianjun Zhang and Yimin Zhang},
journal= {arXiv preprint arXiv:1604.04715},
year = {2016}
}
Comments
20 pages