On quasilinear parabolic equations involving measure data

In this paper we prove that a nontrivial solution of the quasilinear parabolic u t =div(|∇| p−2 ∇u)−u q in R N ×(0,T),u(x,0)=0 for x≠0, p>2 exists if and only if 0<q<p−1+p/N.

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