Abstract
We establish the existence of nonnegative and nonzero solutions for the following class of quasilinear Schrödinger equations:
where
, κ is a positive parameter, V and Q are potentials that can be singular at the origin, unbounded or vanishing at infinity and the nonlinearity
is superlinear at infinity. In order to prove our main result, we have applied minimax methods together with careful
-estimates and we need to use an argument of symmetric criticality principle type.
Disclosure statement
No potential conflict of interest was reported by the authors.