Classification of solitary wave solutions to Schrödinger equations with potentials
type: Item
instance of: scholarly article
title: Classification of solitary wave solutions to Schrödinger equations with potentials
zbMATH Open document ID: 1481.35167
author: Zhiyou Chen
author: Yong-Li Tang
published in: Journal of Differential Equations
publication date: 2022-01-20T00:00:00Z
Mathematics Subject Classification ID: 35J47
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 7460661
zbMATH Keywords: system of nonlinear Schrödinger equations
zbMATH Keywords: solitary wave solutions
zbMATH Keywords: existence and uniqueness
MaRDI profile type: Publication
full work available at URL: j.jde.2021.12.012
OpenAlex ID: W4200419291
cites work: Continuous rearrangement and symmetry of solutions of elliptic problems
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Q3672366
cites work: Symmetry results for semilinear elliptic systems in the whole space
cites work: Pattern formation via mixed attractive and repulsive interactions for nonlinear Schrödinger systems
cites work: Bifurcations for a coupled Schrödinger system with multiple components
cites work: Q3409164
cites work: Bound states for a coupled Schrödinger system
cites work: On the Classification of Standing Wave Solutions for the Schrödinger Equation
cites work: On the uniqueness and structure of solutions to a coupled elliptic system
cites work: Uniqueness and structure of solutions to the Dirichlet problem for an elliptic system
cites work: Uniqueness of the ground state solutions of △u+f(u)=0 in Rn, n≥3
cites work: Spike solutions in coupled nonlinear Schrödinger equations with attractive interaction
cites work: Solitary waves for some nonlinear Schrödinger systems
cites work: Monotonicity properties for ground states of the scalar field equation
cites work: Structure of a quantized vortex in boson systems
cites work: Q3923023
cites work: On a system of nonlinear Schrödinger equations with quadratic interaction
cites work: Uniqueness of positive solutions for a nonlinear elliptic system
cites work: A local mountain pass type result for a system of nonlinear Schrödinger equations
cites work: Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
cites work: Local asymptotic symmetry of singular solutions to nonlinear elliptic equations
cites work: Radial symmetry of positive solutions of nonlinear elliptic equations in Rn
cites work: Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
cites work: Erratum: Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
cites work: Ground States and Bound States of a Nonlinear Schrödinger System
cites work: Uniqueness of Positive Radial Solutions of Δu + f(u) = 0 in ℝ n , II
cites work: Radial solutions of \(\Delta u+f(u)=0\) with prescribed numbers of zeros
cites work: Coupled nonlinear Schrödinger systems with potentials
cites work: Q5516356
cites work: On a class of nonlinear Schrödinger equations
cites work: Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
cites work: A generalized Pohožaev identity and uniqueness of positive radial solutions of \(\Delta u+g(r)u+h(r)u^p=0\)
cites work: Uniqueness and nondegeneracy of positive radial solutions of \(\operatorname{div}(\rho\nabla u)+\rho (-gu+hu^p)=0\)
cites work: Multiple positive solutions for Schrödinger systems with mixed couplings
cites work: Standing waves of a weakly coupled Schrödinger system with distinct potential functions
cites work: Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations
cites work: Uniqueness of positive radial solutions of Δu+f(u,|xz.sfnc;)=0
DOI: 10.1016/J.JDE.2021.12.012
description: scientific article; zbMATH DE number 7460661