Critical exponents for the evolution \(p\)-Laplacian equation with a localized reaction
type: Item
instance of: scholarly article
title: Critical exponents for the evolution \(p\)-Laplacian equation with a localized reaction
zbMATH Open document ID: 1263.35152
author: Zhilei Liang
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2013-04-05T00:00:00Z
Mathematics Subject Classification ID: 35K92
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35B44
zbMATH DE Number: 6150659
zbMATH Keywords: \(p\)-Laplacian equation
zbMATH Keywords: global existence
zbMATH Keywords: blowing up
zbMATH Keywords: localized reaction
zbMATH Keywords: Fujita exponent
MaRDI profile type: Publication
full work available at URL: s13226-012-0032-1
OpenAlex ID: W1998787361
cites work: Degenerate parabolic equations
cites work: Classification of blow-up with nonlinear diffusion and localized reaction
cites work: Blow-up for quasilinear heat equations with critical Fujita's exponents
cites work: On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
cites work: Blow-up and critical exponents for parabolic equations with non-divergent operators: dual porous medium and thin film operators
cites work: On the critical exponents for porous medium equation with a localized reaction in high dimensions
cites work: Localization for the evolution \(p\)-Laplacian equation with strongly nonlinear source term
cites work: Existence and nonexistence of global solutions for \(u_ t = \Delta u + a(x)u^ p\) in \(\mathbb{R}^ d\)
cites work: Critical exponents of degenerate parabolic equations
cites work: The critical exponents of parabolic equations and blow-up inRn
cites work: Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
cites work: Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.
cites work: Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source
cites work: Critical exponents of the non-Newtonian polytropic filtration equation with nonlinear boundary condition
cites work: Large time behavior of solutions to Newtonian filtration equation with nonlinear boundary sources
cites work: Nonlinear diffusion equations
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: On the Cauchy problem and initial traces for the evolution \(p\)-Laplacian equations with strongly nonlinear sources
DOI: 10.1007/S13226-012-0032-1
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description: scientific article; zbMATH DE number 6150659