Multiple existence of sign changing solutions for coupled nonlinear Schrödinger equations

DOI10.1016/j.na.2010.06.034zbMath1198.35078OpenAlexW2068357976MaRDI QIDQ988148

Norimichi Hirano

Publication date: 26 August 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.2010.06.034

zbMATH Keywords

sign changing solutionscoupled Schrödinger equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Second-order elliptic systems (35J47)

Related Items (3)

Least-energy nodal solutions of nonlinear equations with fractional Orlicz–Sobolev spaces ⋮ Solutions with a prescribed number of zeros for nonlinear Schrödinger systems ⋮ Sign-changing solutions of nonlinear Schrödinger system

Cites Work

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• A perturbation result on positive entire solutions of a semilinear elliptic equation
• Bound and ground states of coupled nonlinear Schrödinger equations
• Coupled nonlinear Schrödinger systems with potentials
• Solitary and self-similar solutions of two-component system of nonlinear Schrödinger equations
• Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
• Dyons in affine field theories

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