Holder regularity and Harnack inequality for degenerate parabolic equations related to Caffarelli-Kohn-Nirenberg inequalities

摘要

This paper deals with the following parabolic equations:u(1) - div(x(-py) delu(p-2)delu) = f(x,t,u) in Omega(T) = Omega X (0, T),where p > 2, 0 < (gamma + 1) < N/p, Omega subset of R-N is a regular bounded domain containing the origin, and f is a function with suitable hypothesis that we will precise later in order to obtain some weak Harnack inequality. (C) 2004 Elsevier Ltd. All rights reserved.