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• W2341498794 abstract "In this paper, we are interested in standing waves with a vortex for the nonlinear Chern–Simons–Schrödinger equations (CSS for short). We study the existence and the nonexistence of standing waves when a constant λ>0, representing the strength of the interaction potential, varies. We prove every standing wave is trivial if λ∈(0,1), every standing wave is gauge equivalent to a solution of the first order self-dual system of CSS if λ=1 and for every positive integer N, there is a nontrivial standing wave with a vortex point of order N if λ>1. We also provide some classes of interaction potentials under which the nonexistence of standing waves and the existence of a standing wave with a vortex point of order N are proved." @default.
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• W2341498794 date "2016-07-01" @default.
• W2341498794 modified "2023-10-16" @default.
• W2341498794 title "On standing waves with a vortex point of order N for the nonlinear Chern–Simons–Schrödinger equations" @default.
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• W2341498794 doi "https://doi.org/10.1016/j.jde.2016.04.004" @default.
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