Abstract
This paper is concerned with the standing waves for a generalized quasilinear Schrödinger equation with indefinite potential. By Morse theory, we obtain a nontrivial solution for the equation. In addition, if the nonlinear term is an odd function, we can obtain an unbounded sequence of solutions.
Acknowledgments
The author would like to thank the handling editors and anonymous referee for the help in the processing of the paper.
Disclosure statement
The author declare that they have no competing interest(s).
Authors' contributions
In the paper, we established the existence of nontrivial solutions for problem (Equation2(2) (2) ) with the general function and the indefinite potential.
Data availability statement
Data sharing is not applicable to this article as no datasets were generated or analysed during the current study.