Existence of solutions to a generalized quasilinear Schrödinger equation with concave-convex nonlinearities and potentials vanishing at infinity

Existence of solutions to a generalized quasilinear Schrödinger equation with concave-convex nonlinearities and potentials vanishing at infinity

In this paper, we investigate the existence of solutions to a generalized quasilinear Schrödinger equation with concave-convex nonlinearities and potentials vanishing at infinity. Using the mountain pass theorem, we get the existence of a positive solution.

Bibliographic Details
Main Authors: Xiaojie Guo, Zhiqing Han
Format: Article
Language:English
Published: AIMS Press 2023-10-01
Series:AIMS Mathematics
Subjects:
quasilinear schrödinger equation
concave-convex nonlinearities
vanishing potentials
positive solutions
mountain pass theorem
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231417?viewType=HTML

Internet

https://www.aimspress.com/article/doi/10.3934/math.20231417?viewType=HTML

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