Asymptotics for a class of coupled fourth-order Schrödinger equations
type: Item
instance of: scholarly article
title: Asymptotics for a class of coupled fourth-order Schrödinger equations
zbMATH Open document ID: 1394.35474
published in: Mediterranean Journal of Mathematics
publication date: 2018-07-24T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 6909948
zbMATH Keywords: asymptotics
zbMATH Keywords: focusing fourth-order coupled Schrödinger system
zbMATH Keywords: Gagliardo-Nirenberg-type inequality
author: Radhia Ghanmi
MaRDI profile type: Publication
full work available at URL: s00009-018-1153-5
OpenAlex ID: W2802134133
cites work: Q4073917
cites work: Q5465079
cites work: Existence of solutions for a system of coupled nonlinear stationary bi-harmonic Schrödinger equations
cites work: Bound and ground states of coupled nonlinear Schrödinger equations
cites work: Standing waves of some coupled nonlinear Schrödinger equations
cites work: Q3409164
cites work: Bound states for a coupled Schrödinger system
cites work: Spike solutions in coupled nonlinear Schrödinger equations with attractive interaction
cites work: A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system
cites work: On defocusing fourth-order coupled nonlinear Schrodinger equations
cites work: Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
cites work: Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
cites work: Ground States and Bound States of a Nonlinear Schrödinger System
cites work: Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
cites work: Symétrie et compacité dans les espaces de Sobolev
cites work: Multiple bound states of nonlinear Schrödinger systems
cites work: Positive solutions for a weakly coupled nonlinear Schrödinger system
cites work: Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case
cites work: Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equations of fourth order in dimensions \(d\geqslant 9\)
cites work: Remarks on strongly elliptic partial differential equations
cites work: Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case
cites work: Saddle points and instability of nonlinear hyperbolic equations
cites work: A note on fourth-order nonlinear Schrödinger equation
cites work: Standing wave solutions of the nonlinear Schrödinger equation in \(\mathbb R^N\)
cites work: Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
cites work: Nonlinear Schrödinger equations and sharp interpolation estimates
cites work: Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations
DOI: 10.1007/S00009-018-1153-5
description: scientific article; zbMATH DE number 6909948