Multi-bump solutions for Schrödinger equation involving critical growth and potential wells
type: Item
instance of: scholarly article
title: Multi-bump solutions for Schrödinger equation involving critical growth and potential wells
zbMATH Open document ID: 1346.35071
author: Yuxia Guo
author: Zhongwei Tang
published in: Discrete and Continuous Dynamical Systems
publication date: 2015-03-12T00:00:00Z
Mathematics Subject Classification ID: 35J91
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 6413824
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: critical exponent
zbMATH Keywords: multi-bump solutions
MaRDI profile type: Publication
full work available at URL: dcds.2015.35.3393
OpenAlex ID: W2334801086
cites work: Semiclassical states of nonlinear Schrödinger equations
cites work: Multiplicity results for some nonlinear Schrödinger equations with potentials
cites work: Multibump solutions of nonlinear Schrödinger equations with steep potential well and indefinite potential
cites work: Multiple positive solutions for a nonlinear Schrödinger equation
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: Standing waves with a critical frequency for nonlinear Schrödinger equations
cites work: Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
cites work: An existence result for nonliner elliptic problems involving critical Sobolev exponent
cites work: Q4522572
cites work: Existence theorems for the Schrödinger equation involving a critical Sobolev exponent
cites work: Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
cites work: Multi-peak periodic semiclassical states for a class of nonlinear Schrödinger equations
cites work: Multi-peak bound states for nonlinear Schrödinger equations
cites work: Semi-classical states for nonlinear Schrödinger equations
cites work: Semiclassical states for nonlinear Schrödinger equations with sign-changing potentials
cites work: Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
cites work: A nondegeneracy result for a nonlinear elliptic equation
cites work: Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents
cites work: On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
cites work: Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
cites work: The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
cites work: Least energy solutions for semilinear Schrödinger equations involving critical growth and indefinite potentials
cites work: Standing waves for nonlinear Schrödinger equations involving critical growth
DOI: 10.3934/DCDS.2015.35.3393
description: scientific article