Abstract
This paper is concerned with a gauged nonlinear Schrödinger equation where V is a external potential and λ is a positive parameter. We assume that the potential has a bounded potential well and the nonlinearity is sublinear at infinity, the existence and multiplicity results of solutions are obtained by using the genus properties in critical point theory. Moreover, the concentration behavior of solutions on the potential well is also explored.
COMMUNICATED BY:
Disclosure statement
No potential conflict of interest was reported by the authors.