Blow-up and global existence of solutions to a parabolic equation associated with the fraction \(p\)-Laplacian
type: Item
instance of: scholarly article
title: Blow-up and global existence of solutions to a parabolic equation associated with the fraction \(p\)-Laplacian
zbMATH Open document ID: 1409.35219
author: Ronghua Jiang
author: Jun Zhou
published in: Communications on Pure and Applied Analysis
publication date: 2019-03-21T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35K65
zbMATH DE Number: 7040487
zbMATH Keywords: fractional \(p\)-Laplace operator
zbMATH Keywords: blow-up
zbMATH Keywords: global existence
zbMATH Keywords: vacuum isolating phenomenon
zbMATH Keywords: potential well
MaRDI profile type: Publication
full work available at URL: cpaa.2019058
OpenAlex ID: W2900231857
cites work: Q4858060
cites work: Q4826746
cites work: Existence theorems for entire solutions of stationary Kirchhoff fractional \(p\)-Laplacian equations
cites work: Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
cites work: Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian
cites work: Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
cites work: \(p\)-fractional Kirchhoff equations involving critical nonlinearities
cites work: Q3194642
cites work: On some degenerate non-local parabolic equation associated with the fractional \(p\)-Laplacian
cites work: Q3470840
cites work: Q3093929
cites work: Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
cites work: Vacuum isolating, blow up threshold, and asymptotic behavior of solutions for a nonlocal parabolic equation
cites work: Q5628582
cites work: On potential wells and vacuum isolating of solutions for semilinear wave equations
cites work: On potential wells and applications to semilinear hyperbolic equations and parabolic equations
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Q3162662
cites work: The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets
cites work: Infinitely many solutions for the stationary Kirchhoff problems involving the fractional \(p\)-Laplacian
cites work: Global existence and blowup of solutions for the multidimensional sixth-order ``good'' Boussinesq equation
DOI: 10.3934/CPAA.2019058
description: scientific article; zbMATH DE number 7040487