Multiple solutions of a coupled nonlinear Schrödinger system

DOI10.1016/J.JMAA.2007.01.024zbMath1387.35557OpenAlexW2015822103MaRDI QIDQ996914

Andrés I. Ávila, Youyan Wan

Publication date: 19 July 2007

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.2007.01.024

zbMATH Keywords

variational methodsSchrödinger equationelliptic systemrelative categoryNehari manifold

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Singular perturbations in context of PDEs (35B25) Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20)

Related Items (6)

Multi-peak positive solutions for nonlinear fractional Schrödinger systems in \(\mathbb{R}^N\) ⋮ Concentration phenomena for critical fractional Schrödinger systems ⋮ Segregated vector solutions for the nonlinear Schrödinger systems in \(\mathbb {R}^{3}\) ⋮ Hamiltonian elliptic systems involving nonlinear Schrödinger equations with critical growth ⋮ Multiplicity of solutions for Schrödinger systems with critical exponent via Ljusternik-Schnirelman theory ⋮ Infinitely many solutions for nonlinear Schrödinger systems with magnetic potentials in R3

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