English

Solutions without any symmetry for semilinear elliptic problems

Analysis of PDEs 2014-01-03 v1

Abstract

We prove the existence of infinitely many solitary waves for the nonlinear Klein-Gordon or Schr\"odinger equation Δuu+u3=0, \Delta u-u+ u^3 =0 , in R2{\bf R}^2, which have finite energy and whose maximal group of symmetry reduces to the identity.

Keywords

Cite

@article{arxiv.1401.0271,
  title  = {Solutions without any symmetry for semilinear elliptic problems},
  author = {Weiwei Ao and Monica Musso and Frank Pacard and Juncheng Wei},
  journal= {arXiv preprint arXiv:1401.0271},
  year   = {2014}
}
R2 v1 2026-06-22T02:37:51.896Z