Harnack Type Inequalities for Solutions of Certain Doubly Nonlinear Parabolic Equations

Here we prove an intrinsic version of the Harnack inequality for locally bounded nonnegative weak solutions of nonlinear parabolic equations of the type ut = Div(|u|m −1 |Du|p − 2Du) in D′(ΩT), where p > 1, m + p > 2, m + p + p/N > 3.