Multi-scale spike solutions for nonlinear coupled elliptic systems with critical frequency
type: Item
instance of: scholarly article
title: Multi-scale spike solutions for nonlinear coupled elliptic systems with critical frequency
zbMATH Open document ID: 1465.35181
author: Zhongwei Tang
author: Hua-Fei Xie
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2021-05-11T00:00:00Z
Mathematics Subject Classification ID: 35J47
Mathematics Subject Classification ID: 35J91
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 7347144
zbMATH Keywords: systems of semilinear equations with Laplacian
zbMATH Keywords: existence of positive solutions
MaRDI profile type: Publication
full work available at URL: s00030-021-00686-8
OpenAlex ID: W3138678340
cites work: Q5465079
cites work: Bound and ground states of coupled nonlinear Schrödinger equations
cites work: Standing waves of some coupled nonlinear Schrödinger equations
cites work: A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system
cites work: Standing waves with a critical frequency for nonlinear Schrödinger equations
cites work: Q3409164
cites work: Bound states for a coupled Schrödinger system
cites work: Periodic solutions for a system of four coupled nonlinear Schrödinger equations
cites work: Multiscale-bump standing waves with a critical frequency for nonlinear Schrödinger equations
cites work: Standing waves for coupled nonlinear Schrödinger equations with decaying potentials
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 the number of single-peak solutions of the nonlinear Schrödinger equation.
cites work: A uniqueness result for a semilinear elliptic equation in symmetric domains
cites work: Q5187597
cites work: Special set and solutions of coupled nonlinear schr dinger equations
cites work: A local mountain pass type result for a system of nonlinear Schrödinger equations
cites work: Segregated vector solutions for a class of Bose-Einstein systems
cites work: Multi-bump bound states for a Schrödinger system via Lyapunov-Schmidt reduction
cites work: Multi-bump bound states for a system of nonlinear Schrödinger equations
cites work: Spikes in two-component systems of nonlinear Schrödinger equations with trapping potentials
cites work: Semiclassical states for weakly coupled nonlinear Schrödinger systems
cites work: Uniform Hölder Bounds for Nonlinear Schrödinger Systems with Strong Competition
cites work: Coupled nonlinear Schrödinger systems with potentials
cites work: Global well-posedness of axisymmetric Navier-Stokes equations with one slow variable
cites work: Segregated and synchronized vector solutions for nonlinear Schrödinger systems
cites work: Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
cites work: Multipulse phases in k-mixtures of Bose-Einstein condensates
cites work: Segregated vector solutions with multi-scale spikes for nonlinear coupled elliptic systems
cites work: Existence and concentration of ground states of coupled nonlinear Schrödinger equations
cites work: Standing waves of a weakly coupled Schrödinger system with distinct potential functions
cites work: Radial solutions and phase separation in a system of two coupled Schrödinger equations
cites work: Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations
DOI: 10.1007/S00030-021-00686-8
description: scientific article; zbMATH DE number 7347144