Existence and multiplicity of positive solutions for two coupled nonlinear Schrödinger equations

DOI10.3934/dcds.2013.33.2911zbMath1290.35244OpenAlexW2329049091MaRDI QIDQ379469

Tai-Chia Lin, Tsung-fang Wu

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.2911

zbMATH Keywords

multiple positive solutionsLusternik-Schnirelmann categorytwo coupled nonlinear Schrödinger equations

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09)

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On a two-component Bose-Einstein condensate with steep potential wells ⋮ Multiplicity of positive solutions for a nonlinear Schrödinger-Poisson system ⋮ Bound state positive solutions for a class of elliptic system with Hartree nonlinearity ⋮ On the semiclassical solutions of a two-component elliptic system in \(\mathbb {R}^4\) with trapping potentials and Sobolev critical exponent: the repulsive case ⋮ Spikes of the two-component elliptic system in \(\mathbb {R}^4\) with the critical Sobolev exponent ⋮ Existence and multiplicity of positive solutions for fractional Laplacian systems with nonlinear coupling

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