Blow-up and global existence for a coupled system of degenerate parabolic equations in a bounded domain*

This article deals with the conditions that ensure the blow-up phenomenon or its absence for solutions of the system ut=Δul+up1vq1ut=Δul+up1vq1 and vt=Δvm+up2vq2vt=Δvm+up2vq2 with homogeneous Dirichlet boundary conditions. The results depend crucially on the sign of the difference p2q1-(l-p1)(m-q2)p2q1-(l-p1)(m-q2), the initial data, and the domain ω