Existence and symmetry of positive ground states for a doubly critical Schrödinger system
type: Item
instance of: scholarly article
title: Existence and symmetry of positive ground states for a doubly critical Schrödinger system
zbMATH Open document ID: 1315.35091
DOI: 10.1090/S0002-9947-2014-06237-5
author: Zhijie Chen
author: Wenming Zou
published in: Transactions of the American Mathematical Society
publication date: 2015-04-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/1211.1514
Mathematics Subject Classification ID: 35J50
Mathematics Subject Classification ID: 35J47
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35B09
zbMATH DE Number: 6429023
zbMATH Keywords: Schrödinger system
zbMATH Keywords: critical exponents
zbMATH Keywords: variational methods
MaRDI profile type: Publication
arXiv ID: 1211.1514
cites work: Some remarks on systems of elliptic equations doubly critical in the whole \(\mathbb R^N\)
cites work: Existence and multiplicity for perturbations of an equation involving a Hardy inequality and the critical Sobolev exponent in the whole of \(\mathbb R^N\)
cites work: Standing waves of some coupled nonlinear Schrödinger equations
cites work: Dual variational methods in critical point theory and applications
cites work: Problèmes isoperimetriques et espaces de Sobolev
cites work: A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: Standing waves for nonlinear Schrödinger equations with a general nonlinearity
cites work: An integral system and the Lane-Emden conjecture
cites work: Classification of solutions for an integral equation
cites work: Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case
cites work: Existence of Blowing-up Solutions for a Nonlinear Elliptic Equation with Hardy Potential and Critical Growth
cites work: Dark solitons in atomic Bose–Einstein condensates: from theory to experiments
cites work: Symmetry and related properties via the maximum principle
cites work: Q3923023
cites work: Q5690460
cites work: Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
cites work: The concentration-compactness principle in the calculus of variations. The limit case. I
cites work: The concentration-compactness principle in the calculus of variations. The limit case. II
cites work: Multiple bound states of nonlinear Schrödinger systems
cites work: Positive solutions for a weakly coupled nonlinear Schrödinger system
cites work: Coupled nonlinear Schrödinger systems with potentials
cites work: Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
cites work: Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities
cites work: A global compactness result for elliptic boundary value problems involving limiting nonlinearities
cites work: Q4714152
cites work: Best constant in Sobolev inequality
cites work: On positive entire solutions to a class of equations with a singular coefficient and critical exponent
cites work: Multipulse phases in k-mixtures of Bose-Einstein condensates
cites work: Minimax theorems
description: scientific article; zbMATH DE number 6429023