ABSTRACT
In this paper, we study the following generalized quasilinear Schrödinger equations
where
,
is a given potential, g is a
even function with
for all
.The nonlinearity
satisfies asymptotically linear at infinity. Under certain assumptions on V,g and h, we give the existence results via variational methods. Moreover, we give an application for our results.
Disclosure statement
No potential conflict of interest was reported by the authors.