Author(s)

Peng Liao, Rui Ping, Shaoxiong Chen^*

School of Mathematics, Yunnan Normal University, Kunming, China.

This paper is considered the existence of positive solutions for a class of generalized quasilinear Schrödinger equations with nonlocal term in R^N 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.

Quasilinear Schrödinger Equation, Minimization, Implicit Function Theorem

Liao, P. , Ping, R. and Chen, S. (2022) Positive Solutions for a Class of Quasilinear Schrödinger Equations with Nonlocal Term. Journal of Applied Mathematics and Physics, 10, 347-359. doi: 10.4236/jamp.2022.102027.