ABSTRACT
This paper is motivated by the study of the following quasilinear Schrödinger equation
where
,
is a parameter and
is a given positive potential. As an example, the nonlinearity includes the pure power type of
for the well-studied case
, and the case
in which few existence results are known. Distinguishing from the existing results in the literature, we are more interested in the existence and multiplicity of sign-changing solutions for the above problem.
Disclosure statement
No potential conflict of interest was reported by the authors.