Forward, backward and elliptic Harnack inequalities for non-negative solutions to certain singular parabolic partial differential equations

By E. DiBenedetto, Ugo Gianazza, V. Vespri. 2010

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Nonlinear Measure Data Problems (2011, background): “Such exponent indeed intervenes in those estimates related to the Barenblatt solution, as for instance the Harnack inequalities in [29, 30, 58].”
Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation (2016, methodology): “The method has been extended to degenerate cases, like the p -Laplacian, ﬁrst in the elliptic case by Ladyzhenskaya and Uralt’seva [48], and then, degenerate parabolic cases were covered by DiBenedetto [24] (see also DiBenedetto, Gianazza and Vespri [26, 25, 27]).”
Local smoothing effects, positivity, and Harnack inequalities for the fast p-Laplacian equation (2009, background): “A”