Existence and orbital stability of standing waves to nonlinear Schrödinger system with partial confinement

DOI10.1063/1.5028208zbMath1436.35288arXiv1709.00217OpenAlexW3098636019MaRDI QIDQ4583075

Tian-Xiang Gou

Publication date: 27 August 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.00217

zbMATH Keywords

nonlinear Schrödinger equationvariational methodconcentration-compactnessnormalized solutionscoupled rearrangement

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Maximum principles in context of PDEs (35B50) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Second-order elliptic systems (35J47) Time-dependent Schrödinger equations and Dirac equations (35Q41) Systems of nonlinear higher-order PDEs (35G50)

Related Items (11)

Normalized solutions to the Chern-Simons-Schrödinger system ⋮ Existence of a minimizer for a nonlinear Schrödinger system with three wave interaction under non-symmetric potentials ⋮ Variational problems associated with a system of nonlinear Schrödinger equations with three wave interaction ⋮ Existence and dynamics of normalized solutions to nonlinear Schrödinger equations with mixed fractional Laplacians ⋮ Standing waves with prescribed \(L^2\)-norm to nonlinear Schrödinger equations with combined inhomogeneous nonlinearities ⋮ Existence and stability of standing waves for the mixed dispersion nonlinear Schrödinger equation with a partial confinement in \(\mathbb{R}^N\) ⋮ Existence of the normalized solutions to the nonlocal elliptic system with partial confinement ⋮ Standing waves with prescribed mass for the coupled Hartree-Fock system with partial confinement ⋮ Stable standing waves for cubic nonlinear Schrödinger systems with partial confinement ⋮ Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents ⋮ The compactness of minimizing sequences for a nonlinear Schrödinger system with potentials

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