English

On solitary wave solutions to dispersive equations with double power nonlinearities

Analysis of PDEs 2024-10-31 v2

Abstract

We study semilinear elliptic equations with the fractional Laplacian in R\mathbb{R}. The equations with single power nonlinearities have been observed by Weinstein(1987), Frank--Lenzmann(2013) and so on. We focus on the equations with double power nonlinearities and consider the existence of ground states.

Keywords

Cite

@article{arxiv.2309.01304,
  title  = {On solitary wave solutions to dispersive equations with double power nonlinearities},
  author = {Kaito Kokubu},
  journal= {arXiv preprint arXiv:2309.01304},
  year   = {2024}
}

Comments

20 page. Abstract is corrected