Existence of multiple solutions to a class of nonlinear Schrödinger system with external sources terms

DOI10.1016/j.jmaa.2014.06.038zbMath1300.35133arXiv1406.4574OpenAlexW2962949600MaRDI QIDQ401037

Zexin Qi, Zhi-tao Zhang

Publication date: 26 August 2014

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

Full work available at URL: https://arxiv.org/abs/1406.4574

zbMATH Keywords

multiple solutionsnonlinear Schrödinger systemNehari manifoldground state solution

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (7)

Existence of multiple positive solutions for Choquard equation with perturbation ⋮ The borderline case of Bahri-Lions result and related problems ⋮ Finding multiple solutions to elliptic systems with polynomial nonlinearity ⋮ Existence of solutions for a coupled Schrödinger equations with critical exponent ⋮ Multiple positive solutions for a coupled nonlinear Hartree type equations with perturbations ⋮ Positive vector solutions for a Schrödinger system with external source terms ⋮ Existence of infinitely many high energy solutions for a class of fractional Schrödinger systems

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