Positive bound states of systems of nonlinear Schrödinger equations

DOI10.1016/j.na.2009.09.040zbMath1206.34050OpenAlexW2006826166MaRDI QIDQ2654022

Jifeng Chu

Publication date: 15 January 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.09.040

zbMATH Keywords

systemssingularnonlinear Schrödinger equationsregularLeray-Schauder alternative principlepositive bound state

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (1)

Existence and multiplicity of positive bound states for Schrödinger equations

Cites Work

• Unnamed Item
• Solitary waves for linearly coupled nonlinear Schrödinger equations with inhomogeneous coefficients
• Collisionless orbits of singular and non singular dynamical systems
• Solitons of linearly coupled systems of semilinear non-autonomous equations on \(\mathbb R^{n}\)
• Periodic orbits of radially symmetric Keplerian-like systems: a topological degree approach
• Remarks on some systems of nonlinear Schrödinger equations
• Guidance properties of nonlinear planar waveguides
• Multiplicity of positive periodic solutions to superlinear repulsive singular equations
• Non-collision periodic solutions of forced dynamical systems with weak singularities
• Multiplicity results for second order non-autonomous singular Dirichlet systems
• Periodic solutions of second order non-autonomous singular dynamical systems
• Guided waves in a multi-layered optical structure
• On forced dynamical systems with a singularity of repulsive type
• Conservative Dynamical Systems Involving Strong Forces
• Asymmetric Modes in Symmetric Nonlinear Optical Waveguides
• On Periodic Solutions of Nonlinear Differential Equations with Singularities
• Standing waves of some coupled nonlinear Schrödinger equations
• Periodic solutions of singular systems without the strong force condition
• On positive solutions of boundary value problems on the half-line

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