Abstract
In this paper, we are concerned with a gauged nonlinear Schrödinger equation
where
are positive parameters and
Under appropriate assumptions on the potential V and nonlinear terms g and f, where g has sublinear growth and f has asymptotically linear or superlinear growth without (AR) condition, we acquire the existence and multiplicity of solutions by means of Mountain pass theorem and Fountain theorem. Our results generalize and improve the recent result in the literature.
Disclosure statement
No potential conflict of interest was reported by the authors.