Sharp variational characterization and a Schrödinger equation with Hartree type nonlinearity
type: Item
instance of: scholarly article
title: Sharp variational characterization and a Schrödinger equation with Hartree type nonlinearity
zbMATH Open document ID: 1356.35105
author: J. Chen
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2016-12-22T00:00:00Z
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 6667914
zbMATH Keywords: variant Gagliardo-Nirenberg interpolation inequality
zbMATH Keywords: sharp variational characterization
zbMATH Keywords: minimal action solution
zbMATH Keywords: Hartree type nonlinearity
MaRDI profile type: Publication
full work available at URL: dcdss.2016066
OpenAlex ID: W2555347332
cites work: Necessary conditions and sufficient conditions for global existence in the nonlinear Schr\"odinger equation
cites work: Nonlinear Schrödinger–Helmholtz equation as numerical regularization of the nonlinear Schrödinger equation
cites work: Orbital stability of standing waves for some nonlinear Schrödinger equations
cites work: Remarks on global existence for the supercritical nonlinear Schrödinger equation with a 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: On a class of nonlinear Schrödinger equations. II. Scattering theory, general case
cites work: On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. I
cites work: On the Existence of Infinitely Many Modes of a Nonlocal Nonlinear Schrödinger Equation Related to Dispersion-Managed Solitons
cites work: Nonlinear Schrödinger equations and sharp interpolation estimates
cites work: Minimax theorems
cites work: Stability of attractive Bose-Einstein condensates
DOI: 10.3934/DCDSS.2016066
description: scientific article; zbMATH DE number 6667914