Multi-peak solutions for coupled nonlinear Schrödinger systems in low dimensions
type: Item
instance of: scholarly article
title: Multi-peak solutions for coupled nonlinear Schrödinger systems in low dimensions
author: Maoding Zhen
author: Binlin Zhang
author: Vicenţiu D. Rădulescu
published in: Applied Mathematics and Optimization
publication date: 2023-04-27T00:00:00Z
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35J47
Mathematics Subject Classification ID: 35J61
zbMATH DE Number: 7680327
zbMATH Keywords: Lyapunov-Schmidt reduction
zbMATH Keywords: attractive and repulsive cases
MaRDI profile type: Publication
full work available at URL: s00245-023-09974-4
OpenAlex ID: W4362733025
cites work: First and second critical exponents for an inhomogeneous Schrödinger equation with combined nonlinearities
cites work: Nonlinear time-harmonic Maxwell equations in an anisotropic bounded medium
cites work: Multiple normalized solutions for a competing system of Schrödinger equations
cites work: Bound states for a coupled Schrödinger system
cites work: A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system
cites work: Entropy solutions for elliptic Schrödinger type equations under Fourier boundary conditions
cites work: On entire solutions of an elliptic system modeling phase separations
cites work: Multiplicity of positive and nodal solutions for nonlinear elliptic problems in \(\mathbb{R}^ N\)
cites work: Existence and uniqueness results on single-peaked solutions of a semilinear problem
cites work: Solutions with multiple peaks for nonlinear elliptic equations
cites work: Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
cites work: Standing waves for semilinear Schrödinger equations with discontinuous dispersion
cites work: Entire nonradial solutions for non-cooperative coupled elliptic system with critical exponents in \(\mathbb R^3\)
cites work: The existence, uniqueness and nonexistence of the ground state to theN-coupled Schrödinger systems in $ \newcommand{\R}{{\mathbb R}} \boldsymbol{\R^n (n\leqslant 4)}$
cites work: Existence, non-degeneracy of proportional positive solutions and least energy solutions for a fractional elliptic system
cites work: Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
cites work: Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
cites work: Spikes in two coupled nonlinear Schrödinger equations
cites work: Spikes in two-component systems of nonlinear Schrödinger equations with trapping potentials
cites work: Many synchronized vector solutions for a Bose–Einstein system
cites work: On Positive Multipeak Solutions of a Nonlinear Elliptic Problem
cites work: Spike vector solutions for some coupled nonlinear Schrödinger equations
cites work: Segregated and synchronized vector solutions for nonlinear Schrödinger systems
cites work: On elliptic systems with Sobolev critical growth
cites work: On coupled nonlinear Schrödinger systems with mixed couplings
cites work: Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
cites work: Multi-scale spike solutions for nonlinear coupled elliptic systems with critical frequency
cites work: Nonradial symmetric bound states for a system of coupled Schrödinger equations
cites work: Radial solutions and phase separation in a system of two coupled Schrödinger equations
cites work: Ground states of nonlinear Schrödinger systems with mixed couplings
cites work: Infinitely many solutions for the prescribed scalar curvature problem on \(\mathbb S^N\)
cites work: Infinitely many positive solutions for the nonlinear Schrödinger equations in \(\mathbb R^N\)
cites work: Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations
cites work: Normalized solutions for nonlinear coupled fractional systems: low and high perturbations in the attractive case
DOI: 10.1007/S00245-023-09974-4
description: scientific article