Standing waves with prescribed mass for the coupled Hartree-Fock system with partial confinement
type: Item
instance of: scholarly article
title: Standing waves with prescribed mass for the coupled Hartree-Fock system with partial confinement
zbMATH Open document ID: 1468.35049
author: Hui-Fang Jia
author: Xiao Luo
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2021-07-02T00:00:00Z
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J47
Mathematics Subject Classification ID: 35J61
zbMATH DE Number: 7366996
zbMATH Keywords: Hartree-Fock system
zbMATH Keywords: standing waves
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: s10231-020-01046-6
OpenAlex ID: W3092621829
cites work: Scattering for nonlinear Schrödinger equation under partial harmonic confinement
cites work: A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system
cites work: Normalized solutions for a system of coupled cubic Schrödinger equations on \(\mathbb R^3\)
cites work: A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems
cites work: Spikes of the two-component elliptic system in \(\mathbb {R}^4\) with the critical Sobolev exponent
cites work: Bound states for a coupled Schrödinger system
cites work: Existence and stability of standing waves for supercritical NLS with a partial confinement
cites work: A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
cites work: ON THE TIME-DEPENDENT HARTREE–FOCK EQUATIONS COUPLED WITH A CLASSICAL NUCLEAR DYNAMICS
cites work: Orbital stability of standing waves for some nonlinear Schrödinger equations
cites work: Global existence of solutions to the Cauchy problem for time-dependent Hartree equations
cites work: An optimal constant for the existence of least energy solutions of a coupled Schrödinger system
cites work: Nodal solutions for the Choquard equation
cites work: Existence and orbital stability of standing waves to nonlinear Schrödinger system with partial confinement
cites work: Multiple positive normalized solutions for nonlinear Schrödinger systems
cites work: Ground states of two-component attractive Bose-Einstein condensates. I: Existence and uniqueness
cites work: Ground states of two-component attractive Bose-Einstein condensates II: Semi-trivial limit behavior
cites work: Stable standing waves for cubic nonlinear Schrödinger systems with partial confinement
cites work: Analysis.
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. II
cites work: Normalized standing waves for the Hartree equations
cites work: Existence and stability of a two-parameter family of solitary waves for a 2-coupled nonlinear Schrödinger system
cites work: Normalized solutions for nonlinear Schrödinger systems on bounded domains
cites work: Stable solitary waves with prescribed \(L^2\)-mass for the cubic Schrödinger system with trapping potentials
cites work: Segregated and synchronized vector solutions for nonlinear Schrödinger systems
cites work: Normalized bound states for the nonlinear Schrödinger equation in bounded domains
cites work: Segregation and symmetry breaking of strongly coupled two-component Bose-Einstein condensates in a harmonic trap
cites work: A new rearrangement inequality and its application for \(L^2\)-constraint minimizing problems
cites work: Standing waves for a coupled nonlinear Hartree equations with nonlocal interaction
cites work: Existence of the normalized solutions to the nonlocal elliptic system with partial confinement
cites work: Normalized solutions and asymptotical behavior of minimizer for the coupled Hartree equations
DOI: 10.1007/S10231-020-01046-6
description: scientific article; zbMATH DE number 7366996