Existence of solutions for a bi-nonlocal fractional \(p\)-Kirchhoff type problem
type: Item
instance of: scholarly article
title: Existence of solutions for a bi-nonlocal fractional \(p\)-Kirchhoff type problem
zbMATH Open document ID: 1443.35178
author: Mingqi Xiang
author: Binlin Zhang
author: Vicenţiu D. Rădulescu
publication date: 2020-10-11T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 7258753
zbMATH Keywords: fractional \(p\)-Kirchhoff equation
zbMATH Keywords: integro-differential operator
zbMATH Keywords: mountain pass theorem
zbMATH Keywords: iterative method
MaRDI profile type: Publication
full work available at URL: j.camwa.2015.11.017
OpenAlex ID: W2185315018
cites work: Non-local Diffusions, Drifts and Games
cites work: Fractional quantum mechanics and Lévy path integrals
cites work: Lévy Processes and Stochastic Calculus
cites work: Ground state solutions of scalar field fractional Schrödinger equations
cites work: Asymptotic behaviour of a porous medium equation with fractional diffusion
cites work: Nonlinear Diffusion with Fractional Laplacian Operators
cites work: Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
cites work: Nonlocal minimal surfaces
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: Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
cites work: Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
cites work: Existence results for fractional \(p\)-Laplacian problems via Morse theory
cites work: Variational methods for non-local operators of elliptic type
cites work: Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators
cites work: Mountain pass solutions for non-local elliptic operators
cites work: A critical Kirchhoff type problem involving a nonlocal operator
cites work: Critical stationary Kirchhoff equations in \(\mathbb R^N\) involving nonlocal operators
cites work: Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
cites work: Mountain pass solutions for nonlocal equations
cites work: Higher nonlocal problems with bounded potential
cites work: Degenerate Kirchhoff problems involving the fractionalp-Laplacian without the (AR) condition
cites work: Multiplicity results for the non-homogeneous fractional p -Kirchhoff equations with concave–convex nonlinearities
cites work: Infinitely many solutions for a fractional Kirchhoff type problem via fountain theorem
cites work: A variational approach for a nonlocal and nonvariational elliptic problem
cites work: Semilinear elliptic equations with dependence on the gradient via mountain-pass techniques.
cites work: Existence of positive solutions for a nonlocal problem with dependence on the gradient
cites work: Positive and negative solutions of a quasi-linear elliptic equation by a mountain pass method and truncature techniques
cites work: Semilinear elliptic variational inequalities with dependence on the gradient via mountain pass techniques
cites work: Stability for semilinear elliptic variational inequalities depending on the gradient
cites work: A variational approach to a class of quasilinear elliptic equations not in divergence form
cites work: Q3194642
cites work: Q3997570
cites work: Degenerate parabolic equations
cites work: Q5318420
DOI: 10.1016/J.CAMWA.2015.11.017
published in: Computers & Mathematics with Applications
Recommended article: Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
Recommended article: Solvability of a nonlocal fractional \(p\)-Kirchhoff type problem
Recommended article: Existence and nonexistence of solutions for a class of Kirchhoff type equation involving fractional \(p\)-Laplacian
Recommended article: Q5247847
Recommended article: Existence, nonexistence, and multiple results for the fractional \(p\)-Kirchhoff-type equation in \(\mathbb R^N\)
Recommended article: Existence of nontrivial solutions for Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian and local nonlinearity
Recommended article: Existence of solutions to Kirchhoff type equations involving the nonlocal p1& … &pm fractional Laplacian with critical Sobolev-Hardy exponent
Recommended article: Existence results for a Kirchhoff-type equation involving fractional \(p(x)\)-Laplacian
Recommended article: Existence and bifurcation of positive solutions for fractional p$$ p $$‐Kirchhoff problems
Recommended article: Existence of solutions for a fractional nonlocal boundary value problem
description: scientific article; zbMATH DE number 7258753