Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
type: Item
instance of: scholarly article
title: Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
zbMATH Open document ID: 1235.35093
published in: Journal of Differential Equations
publication date: 2011-12-14T00:00:00Z
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35A15
zbMATH DE Number: 5988451
zbMATH Keywords: positive solutions
zbMATH Keywords: Kirchhoff type equation
zbMATH Keywords: variational methods
author: Xiaoming He
author: Wenming Zou
MaRDI profile type: Publication
full work available at URL: j.jde.2011.08.035
OpenAlex ID: W2079911808
cites work: On multiplicity and concentration of positive solutions for a class of quasilinear problems with critical exponential growth in \(\mathbb R^{N}\)
cites work: Multiplicity of solutions for a class of quasilinear problem in exterior domains with Neumann conditions
cites work: Semiclassical states of nonlinear Schrödinger equations
cites work: Multiplicity results for some nonlinear Schrödinger equations with potentials
cites work: Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
cites work: Global solvability for the degenerate Kirchhoff equation with real analytic data
cites work: On the Well-Posedness of the Kirchhoff String
cites work: Existence and multiplicity results for some superlinear elliptic problems on RN
cites work: Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
cites work: C1 + α local regularity of weak solutions of degenerate elliptic equations
cites work: A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
cites work: Standing waves for nonlinear Schrödinger equations with a general nonlinearity
cites work: Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation
cites work: Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
cites work: Multiple semiclassical standing waves for a class of nonlinear Schrödinger equations
cites work: Semi-classical states of nonlinear Schrödinger equations: a variational reduction method
cites work: Local mountain passes for semilinear elliptic problems in unbounded domains
cites work: On the variational principle
cites work: Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
cites work: Infinitely many positive solutions for Kirchhoff-type problems
cites work: Multiplicity of solutions for a class of Kirchhoff type problems
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. II
cites work: Q4189540
cites work: Positive solutions for a nonlinear nonlocal elliptic transmission problem
cites work: A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
cites work: Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
cites work: On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
cites work: Nontrivial solutions of Kirchhoff-type problems via the Yang index
cites work: On a class of nonlinear Schrödinger equations
cites work: Regularity for a more general class of quasilinear equations
cites work: On harnack type inequalities and their application to quasilinear elliptic equations
cites work: On concentration of positive bound states of nonlinear Schrödinger equations
cites work: Minimax theorems
DOI: 10.1016/J.JDE.2011.08.035
description: scientific article; zbMATH DE number 5988451