Geodesic
Blow-up for p-Laplacian parabolic equations
Electronic journal of differential equations, Tome 2003 (2003)
In this article we give a complete picture of the blow-up criteria for weak solutions of the Dirichlet problem

$ u_t=\nabla(|\nabla u|^{p-2}\nabla u)+\lambda |u|^{q-2}u,\quad \hbox{in } \Omega_T, $

where

$ -\nabla(|\nabla \psi|^{p-2}\nabla \psi)=\lambda |\psi|^{p-2}\psi,\quad\hbox{in } \Omega;\quad \psi|_{\partial\Omega}=0. $

Classification : 35K20, 35K55, 35K57, 35K65
Keywords: p-Laplacian parabolic equations, blow-up, global existence, first eigenvalue 
@article{EJDE_2003__2003__a142,
     author = {Li,  Yuxiang and Xie,  Chunhong},
     title = {Blow-up for {p-Laplacian} parabolic equations},
     journal = {Electronic journal of differential equations},
     year = {2003},
     volume = {2003},
     zbl = {1011.35081},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a142/}
}
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AU  - Xie,  Chunhong
TI  - Blow-up for p-Laplacian parabolic equations
JO  - Electronic journal of differential equations
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VL  - 2003
UR  - http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a142/
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%A Xie,  Chunhong
%T Blow-up for p-Laplacian parabolic equations
%J Electronic journal of differential equations
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%F EJDE_2003__2003__a142
Li,  Yuxiang; Xie,  Chunhong. Blow-up for p-Laplacian parabolic equations. Electronic journal of differential equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a142/