Blow-up for p-Laplacian parabolic equations

In this article we give a complete picture of the blow-up criteria for weak solutions of the Dirichlet problem $$ u_t= abla(| abla u|^{p-2} abla u)+lambda |u|^{q-2}u,quad hbox{in } Omega_T, $$ where $p>1$. In particular, for $p>2$, $q=p$ is the blow-up critical exponent and we show that the sh...

Full description

Bibliographic Details
Main Authors: Yuxiang Li, Chunhong Xie
Format: Article
Language:English
Published: Texas State University 2003-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/20/abstr.html