Coupled nonlinear Schrödinger systems with potentials

DOI10.1016/j.jde.2005.09.002zbMath1100.35098arXivmath/0506010OpenAlexW1964967661MaRDI QIDQ2497920

Publication date: 4 August 2006

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506010

zbMATH Keywords

critical points Lyapunov-Schmidt reduction existence of concentrating solutions singularly perturbed coupled nonlinear Schrödinger system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

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