Stability of standing waves for a generalized Choquard equation with potential
type: Item
instance of: scholarly article
title: Stability of standing waves for a generalized Choquard equation with potential
zbMATH Open document ID: 1409.35189
author: Zhipeng Cheng
author: Minbo Yang
published in: Acta Applicandae Mathematicae
publication date: 2019-03-20T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35C08
zbMATH DE Number: 7039715
zbMATH Keywords: Choquard equation
zbMATH Keywords: stability
zbMATH Keywords: standing wave
MaRDI profile type: Publication
full work available at URL: s10440-018-0162-5
OpenAlex ID: W2793843322
cites work: Soliton dynamics for the generalized Choquard equation
cites work: SOLITON DYNAMICS FOR THE SCHRÖDINGER–NEWTON SYSTEM
cites work: Stability of standing waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities
cites work: On the standing waves for nonlinear Hartree equation with confining potential
cites work: Q4434430
cites work: Orbital stability of standing waves for some nonlinear Schrödinger equations
cites work: (Semi)Classical Limit of the Hartree Equation with Harmonic Potential
cites work: Strong instability of standing waves for a nonlocal Schrödinger equation
cites work: Sharp constant in nonlocal inequality and its applications to nonlocal Schrödinger equation with harmonic potential
cites work: Global existence of solutions to the Cauchy problem for time-dependent Hartree equations
cites work: Classification of positive solitary solutions of the nonlinear Choquard equation
cites work: Q4424868
cites work: Stability and instability of standing waves for the nonlinear Schrödinger equation with harmonic potential
cites work: On the point-particle (Newtonian) limit of the nonlinear Hartree equation
cites work: On a class of non linear Schrödinger equations with non local interactions
cites work: Stability theory of solitary waves in the presence of symmetry. II
cites work: Stability theory of solitary waves in the presence of symmetry. I
cites work: Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
cites work: Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
cites work: The Choquard equation and related questions
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. I
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. II
cites work: Lectures on the orbital stability of standing waves and application to the nonlinear Schrödinger equation
cites work: Existence of solitary waves in higher dimensions
cites work: Uniqueness and nondegeneracy of ground states for Choquard equations in three dimensions
DOI: 10.1007/S10440-018-0162-5
description: scientific article; zbMATH DE number 7039715