English

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 VV. Moreover, the monotonicity of f(s)/sf(s)/s and the so-called Ambrosetti-Rabinowitz condition are not required.

Keywords

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

R2 v1 2026-06-22T13:33:48.521Z