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Blow-up and global existence for a nonlocal degenerate quasilinear parabolic system. (Chinese. English summary) Zbl 1224.35215
Summary: This paper investigates the blow-up and global existence of nonnegative solutions for a class of nonlocal degenerate parabolic systems. The sub-and-super solutions method and the regularization skill are used. The critical exponent of the system is gained. Furthermore, for the special case $m =n=1, p_1 = q_1 =0, p_2q_2>1$, the uniform blow-up profile is gained.

##### MSC:
 35K59 Quasilinear parabolic equations 35K65 Parabolic equations of degenerate type 35A01 Existence problems for PDE: global existence, local existence, non-existence