Abstract
We are interested in studying the existence of solution for the generalized quasilinear Schrödinger equation: (P) (P) in , where , g and h are suitable smooth functions and V is a potential that may change sign and be unbounded. By using a change of variables and variational arguments, we obtain the existence of a nontrivial solution for the given problem.
Acknowledgments
Part of this work was done while the authors were visiting the Universidade de Brasília; they would like to thank Professor Ricardo Ruviaro and all faculty and staff of UnB for their hospitality.
Disclosure statement
No potential conflict of interest was reported by the author(s).