Nodal Solutions for Gauged Schrodinger Equation with Nonautonomous Asymptotically Quintic Nonlinearity

In this paper, we are dedicated to study the existence and asymptotic behavior of infinitely many nodal solutions of gauged Schrodinger equationwith an asymptotically quintic nonlinear term. Based on variational methods, we show, for any integer k >= 1, the existence of a radial nodal solution that changes sign exactly k times. Meanwhile, we prove that the energy of such solutions is an increasing function of k. Furthermore, we verify the asymptotic behavior of these solutions upon varying the parameter lambda. In particular, some analytical techniques are applied, which allows us to overcome the difficulties resulting from the complicated competition between the nonlocal term and the asymptotically quintic nonlinearity. Our results enrich the previous ones in the literature involved asymptotically quintic case.