Equivalence and nonexistence of standing waves for coupled Schrödinger equations with Chern-Simons gauge fields

DOI10.12775/TMNA.2015.056zbMath1368.35247OpenAlexW2288736088MaRDI QIDQ526126

Hyungjin Huh, Jinmyoung Seok

Publication date: 8 May 2017

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2015.056

zbMATH Keywords

\(N = 2\) supersymmetric Chern-Simons-Schrödingercritical coupling constantsself-dual system

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Initial value problems for second-order hyperbolic equations (35L15) Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items (5)

Normalized solutions to the Chern-Simons-Schrödinger system ⋮ On standing waves with a vortex point of order \(N\) for the nonlinear Chern-Simons-Schrödinger equations ⋮ On minimal mass vortex ansatz solutions to \(N = 2\) supersymmetric Chern-Simons-Schrödinger equations ⋮ Unnamed Item ⋮ Infinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbation

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