We are concerned with sign-changing solutions of the following gauged nonlinear Schrodinger equation in dimension two including the so-called Chern Simons term { - Δu + ωu + (h2 (|x|) |x|2 + ƒ +∞ |x| h(s)/s u2 (s)ds ) u = λ |u|p?2u in ℝ2, u(x) = u(|x|) H1 (ℝ2), where ω,λ > 0, Ω (4, 6) and h(s) = 1/2 ƒ τu2 (τ)dτ . Via a novel perturbation approach and the method of invariant sets of descending flow, we investigate the existence and multiplicity of signchanging solutions. Moreover, energy doubling is established, i.e. the energy ...
