Degenerate Kirchhoff-type hyperbolic problems involving the fractional Laplacian
type: Item
instance of: scholarly article
title: Degenerate Kirchhoff-type hyperbolic problems involving the fractional Laplacian
zbMATH Open document ID: 1394.35562
author: Ning Pan
author: Patrizia Pucci
author: Binlin Zhang
published in: Journal of Evolution Equations
publication date: 2018-09-05T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 47G20
zbMATH DE Number: 6932109
zbMATH Keywords: degenerate Kirchhoff type
zbMATH Keywords: hyperbolic equations
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: potential wells
MaRDI profile type: Publication
full work available at URL: s00028-017-0406-2
OpenAlex ID: W2737217031
cites work: Q4826746
cites work: Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
cites work: Global nonexistence for nonlinear Kirchhoff systems
cites work: Nonlocal diffusion and applications
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Global solvability for the degenerate Kirchhoff equation with real analytic data
cites work: Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
cites work: A critical Kirchhoff type problem involving a nonlocal operator
cites work: Q3194642
cites work: On solutions of space-fractional diffusion equations by means of potential wells
cites work: Stable and unstable sets for evolution of parabolic and hyperbolic type
cites work: Q5890172
cites work: On potential wells and vacuum isolating of solutions for semilinear wave equations
cites work: Nonlinear parabolic equations with critical initial conditions \(J(u_0)=d\) or \(I(u_0)=0\)
cites work: On potential wells and applications to semilinear hyperbolic equations and parabolic equations
cites work: Potential well method for Cauchy problem of generalized double dispersion equations
cites work: Variational Methods for Nonlocal Fractional Problems
cites work: On a fractional degenerate Kirchhoff-type problem
cites work: Infinitely many solutions for the stationary Kirchhoff problems involving the fractional \(p\)-Laplacian
cites work: On global solution of nonlinear hyperbolic equations
cites work: Saddle points and instability of nonlinear hyperbolic equations
cites work: Mountain pass solutions for non-local elliptic operators
cites work: Variational methods for non-local operators of elliptic type
cites work: Degenerate Kirchhoff-type diffusion problems involving the fractional \(p\)-Laplacian
cites work: Critical stationary Kirchhoff equations in \(\mathbb R^N\) involving nonlocal operators
cites work: A diffusion problem of Kirchhoff type involving the nonlocal fractional \(p\)-Laplacian
cites work: Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
cites work: Existence of maximal solutions for some very singular nonlinear fractional diffusion equations in 1D
cites work: Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
cites work: Multiplicity results for the non-homogeneous fractional p -Kirchhoff equations with concave–convex nonlinearities
cites work: Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractional \(p\)-Laplacian
cites work: Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
cites work: Existence of solutions for perturbed fractional \(p\)-Laplacian equations
cites work: Global existence and nonexistence of solution for Cauchy problem of multidimensional double dispersion equations
DOI: 10.1007/S00028-017-0406-2
description: scientific article; zbMATH DE number 6932109