Normalized solutions for nonlinear Schrödinger systems with linear couples

DOI10.1016/j.jmaa.2021.125013zbMath1460.35320OpenAlexW3127146284MaRDI QIDQ2660471

Zhen Chen, Wen Ming Zou

Publication date: 30 March 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125013

zbMATH Keywords

potentialglobal minimizernonlinear Schrödinger systemsnormalized solution

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (8)

High energy solutions of a quadratic coupled Schrödinger system with an asymmetric potential in entire space ⋮ Prescribed mass solutions to Schrödinger systems with linear coupled terms ⋮ Existence and multiplicity of normalized solution for the coupled elliptic system with quadratic nonlinearity ⋮ Riemann-Hilbert approach and \(N\)-soliton solutions for a higher-order coupled nonlinear Schrödinger system ⋮ Existence and stability of standing waves for the mixed dispersion nonlinear Schrödinger equation with a partial confinement in \(\mathbb{R}^N\) ⋮ Existence and local uniqueness of normalized solutions for two-component Bose-Einstein condensates ⋮ Normalized solutions for Schrödinger system with quadratic and cubic interactions ⋮ Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents

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