Existence of positive ground states for some nonlinear Schrödinger systems

DOI10.1186/1687-2770-2013-13zbMath1282.35363OpenAlexW2129214830WikidataQ59301904 ScholiaQ59301904MaRDI QIDQ393246

Fubao Zhang, Hui Zhang, Junxiang Xu

Publication date: 16 January 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-13

zbMATH Keywords

ground statenonlinear Schrödinger systemNehari manifoldlack of compactness

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Semilinear elliptic equations (35J61)

Related Items (5)

Existence and concentration of positive solutions to a fractional system with saturable term ⋮ Ground state solution of Nehari–Pohožaev type for periodic quasilinear Schrödinger system ⋮ Systems of coupled Schrödinger equations with sign-changing nonlinearities via classical Nehari manifold approach ⋮ Bound state for a strongly coupled nonlinear Schrödinger system with saturation ⋮ On solutions for a class of Kirchhoff systems involving critical growth in R 2

Cites Work

• Schrödinger-Poisson equations without Ambrosetti-Rabinowitz condition
• Symmetric ground state solutions of \(m\)-coupled nonlinear Schrödinger equations
• Positive solutions for a weakly coupled nonlinear Schrödinger system
• Solitons of linearly coupled systems of semilinear non-autonomous equations on \(\mathbb R^{n}\)
• Bound and ground states of coupled nonlinear Schrödinger equations
• Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
• Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
• Symbiotic bright solitary wave solutions of coupled nonlinear Schrödinger equations
• Novel soliton states and bifurcation phenomena in nonlinear fiber couplers
• Standing waves of some coupled nonlinear Schrödinger equations

This page was built for publication: Existence of positive ground states for some nonlinear Schrödinger systems