Symmetric ground state solutions of \(m\)-coupled nonlinear Schrödinger equations

DOI10.1016/j.na.2009.03.035zbMath1167.35513arXiv0903.2854OpenAlexW2046609170MaRDI QIDQ838074

Hichem Hajaiej

Publication date: 21 August 2009

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

Full work available at URL: https://arxiv.org/abs/0903.2854

zbMATH Keywords

Cauchy problemground stateSchrödinger equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (16)

SCHRÖDINGER SYSTEMS ARISING IN NONLINEAR OPTICS AND QUANTUM MECHANICS: PART I ⋮ Concentration phenomena for critical fractional Schrödinger systems ⋮ A new rearrangement inequality and its application for \(L^2\)-constraint minimizing problems ⋮ Existence of positive ground states for some nonlinear Schrödinger systems ⋮ Standing waves of coupled Schrödinger equations with quadratic interactions from Raman amplification in a plasma ⋮ On the Global Behavior of Solutions of a Coupled System of Nonlinear Schrödinger Equation ⋮ The ground states for theNcoupled nonlinear fractional Schrödinger equations ⋮ ORBITAL STABILITY OF STANDING WAVES OF SOME ℓ-COUPLED NONLINEAR SCHRÖDINGER EQUATIONS ⋮ Minimizers of a class of constrained vectorial variational problems. I ⋮ On the necessity of the assumptions used to prove Hardy-Littlewood and Riesz rearrangement inequalities ⋮ Unnamed Item ⋮ Existence and orbital stability of standing waves for nonlinear Schrödinger systems ⋮ A weak-strong convergence property and symmetry of minimizers of constrained variational problems in \(\mathbb R^N\) ⋮ Orbital stability of spatially synchronized solitary waves of an m-coupled nonlinear Schrödinger system ⋮ On a class of semilinear Schrödinger equations with indefinite linear part ⋮ Ground state solutions for asymptotically periodic Schrödinger equations with indefinite linear part

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear scalar field equations. I: Existence of a ground state
• Positive solutions for a weakly coupled nonlinear Schrödinger system
• Minimum action solutions of some vector field equations
• Symmetry properties in systems of semilinear elliptic equations
• Existence of solitary waves in higher dimensions
• On the existence and regularity of ground states for a nonlinear system of coupled Schrödinger equations in \(\mathbb{R}^N\)
• Orbitally stable standing waves for a system of coupled nonlinear Schrödinger equations
• Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
• Rearrangement inequalities for functionals with monotone integrands
• Coupled nonlinear Schrödinger systems with potentials
• Existence and non-existence of Schwarz symmetric ground states for elliptic eigenvalue problems
• Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
• Existence of localized solutions for certain model field theories
• Bifurcation for Dirichlet Problems Without Eigenvalues
• Standing waves of some coupled nonlinear Schrödinger equations
• The Propagation of Nonlinear Wave Envelopes

This page was built for publication: Symmetric ground state solutions of \(m\)-coupled nonlinear Schrödinger equations