Abstract

AbstractIn this paper, we shall investigate the nonexistence of positive solutions for the following nonlinear parabolic partial differential equations: equation image and equation image Here, Ω is a Carnot–Carathéodory metric ball in RN and V ∈ L 1loc(Ω). The critical exponents m * and p * are found, and the nonexistence results are proved for m * ≤ m < 1 and p * ≤ p < 2. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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