English

The existence and multiplicity of solutions for general quasi-linear elliptic equations with sub-cubic nonlinearity

Analysis of PDEs 2022-09-13 v1

Abstract

We consider the existence and multiplicity of solutions for a class of quasi-linear Schr\"{o}dinger equations which include the modified nonlinear Schr\"{o}dinger equations. A new perturbation approach is used to treat the sub-cubic nonlinearity.

Keywords

Cite

@article{arxiv.2209.04883,
  title  = {The existence and multiplicity of solutions for general quasi-linear elliptic equations with sub-cubic nonlinearity},
  author = {Chen Huang and Jianjun Zhang and Xuexiu Zhong},
  journal= {arXiv preprint arXiv:2209.04883},
  year   = {2022}
}

Comments

26 pages