Stable solitary waves for pseudo-relativistic Hartree equations with short range potential
type: Item
instance of: scholarly article
title: Stable solitary waves for pseudo-relativistic Hartree equations with short range potential
zbMATH Open document ID: 1467.35319
author: Xiao Luo
author: Tao Yang
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2021-04-20T00:00:00Z
Mathematics Subject Classification ID: 35Q85
Mathematics Subject Classification ID: 85A15
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35C08
zbMATH DE Number: 7335761
zbMATH Keywords: pseudo-relativistic Hartree equation
zbMATH Keywords: short range potential
zbMATH Keywords: stable solitary wave
MaRDI profile type: Publication
full work available at URL: j.na.2021.112275
OpenAlex ID: W3127530961
cites work: Existence and stability of standing waves for supercritical NLS with a partial confinement
cites work: Maximizers for Gagliardo-Nirenberg inequalities and related non-local problems
cites work: Long time dynamics for semi-relativistic NLS and half wave in arbitrary dimension
cites work: On dipolar quantum gases in the unstable regime
cites work: Q4434430
cites work: Orbital stability of standing waves for some nonlinear Schrödinger equations
cites work: On the Semirelativistic Hartree‐Type Equation
cites work: GLOBAL SOLUTIONS OF SEMIRELATIVISTIC HARTREE TYPE EQUATIONS
cites work: On radial solutions of semi-relativistic Hartree equations
cites work: Existence of ground states for nonlinear, pseudo-relativistic Schrödinger equations
cites work: Ground states for pseudo-relativistic Hartree equations of critical type
cites work: Mean field dynamics of boson stars
cites work: Boson stars as solitary waves
cites work: Effective dynamics for boson stars
cites work: Q5494597
cites work: Modified wave operators without loss of regularity for some long-range Hartree equations. I
cites work: Ground states of pseudo-relativistic boson stars under the critical stellar mass
cites work: The Lieb-Yau conjecture for ground states of pseudo-relativistic Boson stars
cites work: Multiple normalized solutions for quasi-linear Schrödinger equations
cites work: Well-posedness for semi-relativistic Hartree equations of critical type
cites work: Uniqueness of ground states for pseudorelativistic Hartree equations
cites work: Normalized solutions for the Chern–Simons–Schrödinger equation in R^2
cites work: Analysis.
cites work: The Chandrasekhar theory of stellar collapse as the limit quantum mechanics
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: Collapse in the nonlocal nonlinear Schrödinger equation
cites work: On blow-up profile of ground states of boson stars with external potential
cites work: Existence and mass concentration of pseudo-relativistic Hartree equation
cites work: On the blow-up solutions for the nonlinear fractional Schrödinger equation
DOI: 10.1016/J.NA.2021.112275
Recommended article: Solitary waves for the Hartree equation with a slowly varying potential
Recommended article: Stability of Solitary Waves for the Generalized Klein–Gordon–Hartree Equation
Recommended article: Q4853576
Recommended article: Standing waves for the pseudo-relativistic Hartree equation with Berestycki-Lions nonlinearity
Recommended article: Q3431745
Recommended article: Stable solitary waves for one-dimensional Schrödinger-Poisson systems
Recommended article: Q4342646
Recommended article: Stability of solitary-wave solutions to the Hirota-Satsuma equation
Recommended article: Q4286645
Recommended article: Stability and Evolution of Solitary Waves in Perturbed Generalized Nonlinear Schrödinger Equations
description: scientific article; zbMATH DE number 7335761