Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff-type equations involving the fractional \(p\)-Laplacian
type: Item
instance of: scholarly article
title: Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff-type equations involving the fractional \(p\)-Laplacian
zbMATH Open document ID: 1497.35502
author: Liejun Shen
published in: Journal of Inequalities and Applications
publication date: 2021-12-15T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 47G20
zbMATH DE Number: 7445826
zbMATH Keywords: critical Sobolev exponent
zbMATH Keywords: fractional \(p\)-Laplacian
zbMATH Keywords: Kirchhoff
zbMATH Keywords: multiplicity
zbMATH Keywords: asymptotic behavior
Wikidata QID: Q55346871
MaRDI profile type: Publication
full work available at URL: s13660-018-1708-9
OpenAlex ID: W2806469065
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
cites work: Multiple solutions ofp-biharmonic equations with Navier boundary conditions
cites work: Variational Methods for Nonlocal Fractional Problems
cites work: Existence of solutions for perturbed fractional \(p\)-Laplacian equations
cites work: Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractional \(p\)-Laplacian
cites work: Q4189540
cites work: Existence and concentration result for the Kirchhoff type equations with general nonlinearities
cites work: Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
cites work: Standing waves for a class of Kirchhoff type problems in \(\mathbb R^3\) involving critical Sobolev exponents
cites work: Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
cites work: Multiple positive solutions for a Kirchhoff type problem with a critical nonlinearity
cites work: Fractional quantum mechanics and Lévy path integrals
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
cites work: On some variational algebraic problems
cites work: Ground state solutions of scalar field fractional Schrödinger equations
cites work: Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
cites work: Ground states solutions for a non-linear equation involving a pseudo-relativistic Schrödinger operator
cites work: Positive solutions of fractional elliptic equation with critical and singular nonlinearity
cites work: Positive solutions of a singular fractional boundary value problem with a fractional boundary condition
cites work: A nonhomogeneous fractional \(p\)-Kirchhoff type problem involving critical exponent in \(\mathbb{R}^N\)
cites work: Q2954168
cites work: Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
cites work: Multiplicity results for the non-homogeneous fractional p -Kirchhoff equations with concave–convex nonlinearities
cites work: Existence of solutions for a bi-nonlocal fractional \(p\)-Kirchhoff type problem
cites work: \(p\)-fractional Kirchhoff equations involving critical nonlinearities
cites work: Asymptotic stability for nonlinear damped Kirchhoff systems involving the fractional \(p\)-Laplacian operator
cites work: Minimax theorems
cites work: Q4379829
cites work: Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in \(\mathbb{R}^3\)
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. I
cites work: Optimal decay of extremals for the fractional Sobolev inequality
cites work: Nonconvex minimization problems
DOI: 10.1186/S13660-018-1708-9
description: scientific article; zbMATH DE number 7445826