Blow-up versus extinction in a nonlocal \(p\)-Laplace equation with Neumann boundary conditions
type: Item
instance of: scholarly article
title: Blow-up versus extinction in a nonlocal \(p\)-Laplace equation with Neumann boundary conditions
zbMATH Open document ID: 1364.35176
author: Chengyuan Qu
author: Sining Zheng
author: Xueli Bai
published in: Journal of Mathematical Analysis and Applications
publication date: 2015-03-27T00:00:00Z
Mathematics Subject Classification ID: 35K92
Mathematics Subject Classification ID: 35B44
zbMATH DE Number: 6420060
zbMATH Keywords: \(p\)-Laplace equation
zbMATH Keywords: changing sign solution
zbMATH Keywords: global existence
zbMATH Keywords: blow-up
zbMATH Keywords: extinction
MaRDI profile type: Publication
full work available at URL: j.jmaa.2013.10.040
OpenAlex ID: W2011281993
cites work: Continuity of the gradient for weak solutions of a degenerate parabolic equation
cites work: Blowup in a Partial Differential Equation with Conserved First Integral
cites work: The role of critical exponents in blow-up theorems: The sequel
cites work: Q5547841
cites work: Semilinear parabolic equations with prescribed energy
cites work: Blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
cites work: Critical extinction and blow-up exponents for fast diffusive polytropic filtration equation with sources
cites work: Q3025545
cites work: Q4804250
cites work: A note on extinction for fast diffusivep‐Laplacian with sources
cites work: Generalized convexity and the existence of finite time blow-up solutions for an evolutionary problem
cites work: A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
cites work: Q4893660
cites work: Critical extinction and blow‐up exponents for fast diffusive p‐Laplacian with sources
cites work: Non-extinction and critical exponent for a polytropic filtration equation
cites work: Extinction and positivity for the evolution \(P\)-Laplacian equation
cites work: Extinction and positivity for the evolution \(p\)-Laplacian equation in \(\mathbb{R}^n\)
cites work: Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
cites work: Critical Fujita exponents for degenerate parabolic equations coupled via nonlinear boundary flux
DOI: 10.1016/J.JMAA.2013.10.040
Recommended article: Blow-up phenomena for a nonlocal \(p\)-Laplace equation with Neumann boundary conditions
Recommended article: Blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
Recommended article: Finite-time blow-up and extinction rates of solutions to an initial Neumann problem involving the \(p(x,t)\)-Laplace operator and a non-local term
Recommended article: Blow-up phenomena for \(p\)-Laplacian parabolic problems with Neumann boundary conditions
Recommended article: Blow-up in a slow diffusive \(p\)-Laplace equation with the Neumann boundary conditions
Recommended article: Blow-up and global existence for nonlinear parabolic equations with Neumann boundary conditions
Recommended article: Q3118524
Recommended article: Blow-up for a non-local diffusion problem with Neumann boundary conditions and a reaction term
Recommended article: Blowup, extinction and non-extinction for a nonlocal \(p\)-biharmonic parabolic equation
Recommended article: Blow-up for a non-local diffusion equation with exponential reaction term and Neumann boundary condition
description: scientific article; zbMATH DE number 6420060