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"abstractText" : "We consider a nonnegative solution u of the Cauchy problem for a quasi-linear parabolic equation u(t) = Delta u(m)+mu(x)u(p) with the initial data u(0)(x) (not equivalent to 0) satisfying parallel to(mu) over tilde mu(0)parallel to(L)infinity(R-N) < infinity, where nonnegative function mu(x) satisfies some condition and <(mu)over tilde> = mu(1/(p-1)). We give sufficient conditions on mu(0) for a weighted solution (mu) over tilde mu to blow up at space infinity and for a direction psi is an element of SN-1 to be a blow-up direction of (mu) over tilde mu. 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