On quasilinear parabolic equations involving measure data

Abstract

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.