scholarly journals Existence of standing waves for quasi-linear Schrödinger equations on Tn

2019 ◽  
Vol 9 (1) ◽  
pp. 978-993 ◽  
Author(s):  
Xin Zhao ◽  
Weiping Yan
Keyword(s):  
Standing Waves ◽  
Iteration Scheme ◽  
Divisor Problem ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Small Divisor

Abstract This paper is devoted to the study of the existence of standing waves for a class of quasi-linear Schrödinger equations on Tn 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.

Sign in / Sign up

Export Citation Format

Share Document