Multiplicity of concentrating solutions for a class of fractional Kirchhoff equation
type: Item
instance of: scholarly article
title: Multiplicity of concentrating solutions for a class of fractional Kirchhoff equation
published in: Manuscripta Mathematica
publication date: 2019-01-10T00:00:00Z
Mathematics Subject Classification ID: 47G20
Mathematics Subject Classification ID: 35J50
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 6999370
author: Xiaoming He
author: Wenming Zou
MaRDI profile type: Publication
full work available at URL: s00229-018-1017-0
OpenAlex ID: W2790966178
cites work: Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
cites work: Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
cites work: Dual variational methods in critical point theory and applications
cites work: A multiplicity result for a fractional Kirchhoff equation in ℝN with a general nonlinearity
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: Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
cites work: Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
cites work: A critical fractional equation with concave-convex power nonlinearities
cites work: Nonlocal diffusion and applications
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
cites work: Multiple semiclassical standing waves for fractional nonlinear Schrödinger equations
cites work: Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
cites work: Concentrating standing waves for the fractional nonlinear Schrödinger equation
cites work: Bifurcation results for a fractional elliptic equation with critical exponent in \(\mathbb {R}^n\)
cites work: Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
cites work: Ground states and concentration phenomena for the fractional Schrödinger equation
cites work: Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
cites work: Existence and concentration result for the Kirchhoff type equations with general nonlinearities
cites work: Multiplicity and concentration behavior of positive solutions for a Schrödinger–Kirchhoff type problemviapenalization method
cites work: A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in \(\mathbb{R}^N\)
cites work: A critical Kirchhoff type problem involving a nonlocal operator
cites work: Existence of a positive solution to Kirchhoff problems involving the fractional Laplacian
cites work: Concentrating bound states for Kirchhoff type problems in \({\mathbb R}^3\) involving critical Sobolev exponents
cites work: Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
cites work: Ground states for nonlinear Kirchhoff equations with critical growth
cites work: On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions
cites work: Fractional quantum mechanics and Lévy path integrals
cites work: Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior
cites work: Q4189540
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: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Nontrivial solutions of Kirchhoff-type problems via the Yang index
cites work: Local mountain passes for semilinear elliptic problems in unbounded domains
cites work: Critical stationary Kirchhoff equations in \(\mathbb R^N\) involving nonlocal operators
cites work: Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
cites work: On a class of nonlinear Schrödinger equations
cites work: On fractional Schr$\ddot{\mbox{o}}$ödinger equation in $\mathbb {R}^{N}$RN with critical growth
cites work: Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
cites work: The Brezis-Nirenberg result for the fractional Laplacian
cites work: Variational methods for non-local operators of elliptic type
cites work: Regularity of the obstacle problem for a fractional power of the laplace operator
cites work: Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
cites work: Minimax theorems
cites work: Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
cites work: Existence of solutions for critical fractional Kirchhoff problems
DOI: 10.1007/S00229-018-1017-0
description: scientific article; zbMATH DE number 6999370