Abstract
We are concerned with sign-changing solutions of the following gauged nonlinear Schrödinger equation in dimension two including the so-called Chern–Simons termwhere , andVia a novel perturbation approach and the method of invariant sets of descending flow, we investigate the existence and multiplicity of sign-changing solutions. Moreover, energy doubling is established, i.e. the energy of sign-changing solution is strictly larger than twice that of the ground state energy for large. Finally, for any sequence as , up to a subsequence, strongly in as , where w is a sign-changing solution of
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