Electron. J. Differential Equations, Vol. 2021 (2021), No. 05, pp. 1-21.

Localized nodal solutions for parameter-dependent quasilinear Schrodinger equations

Rui He, Xiangqing Liu

Abstract:
In this article, we apply a new variational perturbation method to study the existence of localized nodal solutions for parameter-dependent semiclassical quasilinear Schrodinger equations, under a certain parametric conditions.

Submitted October 2, 2020. Published January 25, 2021.
Math Subject Classifications: 35B05, 35B45.
Key Words: Quasilinear Schrodinger equation; perturbation method; truncation technique; nodal solution.
DOI: https://doi.org/10.58997/ejde.2021.05

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  Rui He
Department of Mathematics
Yunnan Normal University
Kunming 650500, China
email: 493202750@qq.com
Xiangqing Liu
Department of Mathematics
Yunnan Normal University
Kunming 650500, China
email: lxq8u8@163.com

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