A nonlinear Li-Yau inequality and its consequences

Agnid Banerjee, Nicola Garofalo, Hamidreza Mahmoudian

We prove a sharp nonlinear analogue of the Li-Yau inequality for positive solutions of the normalized parabolic $p$-Laplacian equation \[ u_t = Δu + (p-2)|\nabla u|^{-2}\nabla^2u(\…