Geodesic
Blow-up for p-Laplacian parabolic equations
Electronic Journal of Differential Equations, Tome 2003 (2003).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a42,
     author = {Li, Yuxiang and Xie, Chunhong},
     title = {Blow-up for {p-Laplacian} parabolic equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2003},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a42/}
}
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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__a42/