Multiple normalized solutions for quasi-linear Schr\"odinger equations
Analysis of PDEs
2015-04-29 v2
Abstract
In this paper we prove the existence of two solutions having a prescribed -norm for a quasi-linear Schr\"odinger equation. One of these solutions is a mountain pass solution relative to a constraint and the other one a minimum either local or global. To overcome the lack of differentiability of the associated functional, we rely on a perturbation method developed in [27].
Cite
@article{arxiv.1403.2176,
title = {Multiple normalized solutions for quasi-linear Schr\"odinger equations},
author = {Louis Jeanjean and Tingjian Luo and Zhi-Qiang Wang},
journal= {arXiv preprint arXiv:1403.2176},
year = {2015}
}