Standing waves for nonlinear Schrödinger equations involving critical growth
type: Item
instance of: scholarly article
title: Standing waves for nonlinear Schrödinger equations involving critical growth
zbMATH Open document ID: 1317.35247
author: Zhijie Chen
author: Jianjun Zhang
author: Wenming Zou
published in: Journal of the London Mathematical Society
publication date: 2014-12-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/1209.3074
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35B09
zbMATH DE Number: 6382018
zbMATH Keywords: nonlinear Schrödinger equations
zbMATH Keywords: critical growth
zbMATH Keywords: positive solutions
zbMATH Keywords: singularly perturbed elliptic problem
MaRDI profile type: Publication
OpenAlex ID: W2018638695
arXiv ID: 1209.3074
cites work: Local mountain-pass for a class of elliptic problems in \(\mathbb R^N\) involving critical growth
cites work: Existence of a ground state solution for a nonlinear scalar field equation with critical growth
cites work: Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: On least energy solutions to a semilinear elliptic equation in a strip
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: Mountain pass solutions for singularly perturbed nonlinear Dirichlet problems
cites work: Singularly perturbed nonlinear Dirichlet problems with a general nonlinearity
cites work: Standing waves for nonlinear Schrödinger equations with a general nonlinearity
cites work: Erratum: Standing waves for nonlinear Schrödinger equations with a general nonlinearity
cites work: Semi-classical standing waves for nonlinear Schrödinger equations at structurally stable critical points of the potential
cites work: Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
cites work: Singularly perturbed nonlinear Dirichlet problems involving critical growth
cites work: Semiclassical states for the nonlinear Schrödinger equation on saddle points of the potential via variational methods
cites work: Solutions of perturbed Schrödinger equations with critical nonlinearity
cites work: Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
cites work: On a class of semilinear elliptic problems in ℝN with critical growth
cites work: On the shape of least‐energy solutions to a semilinear Neumann problem
cites work: Locating the peaks of least-energy solutions to a semilinear Neumann problem
cites work: On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems
cites work: Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
cites work: Local mountain passes for semilinear elliptic problems in unbounded domains
cites work: Multi-peak bound states for nonlinear Schrödinger equations
cites work: Spike-layered solutions of singularly perturbed elliptic problems in a degenerate setting
cites work: On a class of nonlinear Schrödinger equations
cites work: Solutions with multiple spike patterns for an elliptic system
cites work: Elliptic problems with critical exponents and Hardy potentials.
cites work: On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth
cites work: Existence of solitary waves in higher dimensions
cites work: On concentration of positive bound states of nonlinear Schrödinger equations
cites work: A BERESTYCKI–LIONS THEOREM REVISITED
DOI: 10.1112/JLMS/JDU054
description: scientific article