Electron. J. Differential Equations, Vol. 2022 (2022), No. 35, pp. 1-13.

Positive solution to quasilinear Schrodinger equations via Orlicz space framework

Rui Sun, Duchao Liu

Abstract:
This article concerns the existence of solutions for the generalized quasilinear Schrodinger equation

We obtain a positive solution by using a change of variables and a minimax theorem in an Orlicz space framework.

Submitted April 22, 2021. Published April 29, 2022.
Math Subject Classifications: 35B38, 35D05, 35J20.
Key Words: Quasilinear Schrodinger equation; Orlicz space; change of variables. DOI: https://doi.org/10.58997/ejde.2022.35

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Rui Sun
School of Mathematics and Statistics
Lanzhou University
Lanzhou 730000, China
email: sunr2018@lzu.edu.cn
Duchao Liu
School of Mathematics and Statistics
Lanzhou University
Lanzhou 730000, China
email: liuduchao@gmail.com, liudch@lzu.edu.cn

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