TITLE:
Positive Solutions for a Class of Quasilinear Schrödinger Equations with Nonlocal Term
AUTHORS:
Peng Liao, Rui Ping, Shaoxiong Chen
KEYWORDS:
Quasilinear Schrödinger Equation, Minimization, Implicit Function Theorem
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.2,
February
18,
2022
ABSTRACT: This paper is considered the existence of positive solutions for a class of generalized quasilinear Schrödinger equations with nonlocal term in RN which have appeared from plasma physics, as well as high-power ultrashort laser in matter. We use a charge of variables and obtain the existence of solutions via minimization argument.