An extension of Dickstein’s “small lambda” theorem for finite time blowup

In this paper we prove for 10 such that the solution uu of the equation ut−Δu=|u|p−1uut−Δu=|u|p−1u with u(0)=λφu(0)=λφ blows up in finite time for all 0<λ<λ¯. This extends a similar result of Dickstein who treated the case ∫RNφ≠0∫RNφ≠0 and 1