Existence of standing waves for quasi-linear Schrödinger equations on T n

Advances in Nonlinear Analysis

article

Xin Zhao¹  Weiping Yan² 

[1] School of Mathematics and Big Data, Huizhou University;School of Mathematics, Xiamen University

关键词: Schrödinger equation;    Small divisors;    Periodic solution;   

DOI  :  10.1515/anona-2020-0038

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

This paper is devoted to the study of the existence of standing waves for a class of quasi-linear Schrödinger equations on T n with dimension n ≥ 3. By construction of a suitable Nash-Moser-type iteration scheme, we overcome the clusters of “small divisor” problem, then the existence of standing waves for quasi-linear Schrödinger equations is established.

【 授权许可】

CC BY