On standing waves with a vortex point of order N for the nonlinear Chern–Simons–Schrödinger equations

Volume: 261, Issue: 2, Pages: 1285 - 1316
Published: Jul 1, 2016
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...
Paper Details
Title
On standing waves with a vortex point of order N for the nonlinear Chern–Simons–Schrödinger equations
Published Date
Jul 1, 2016
Volume
261
Issue
2
Pages
1285 - 1316
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