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Keller–Osserman a priori estimates and the Harnack inequality for quasilinear elliptic and parabolic equations with absorption term
(2017) Shan, M.A.; Skrypnik, I.I.
In this article we study quasilinear equations model of which are Despite of the lack of comparison principle, we prove a priori estimates of Keller–Osserman type. Particularly under some natural assumptions on the function f, for nonnegative solutions of p-Laplace equation with absorption term we prove an estimate of the form with constant c independent of u, using this estimate we give a simple proof of the Harnack inequality. We prove a similar result for the evolution p-Laplace equation with absorption