Author

Hamidreza Mahmoudian

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Preprint Aug 2026

A nonlinear Li-Yau inequality and its consequences

We prove a sharp nonlinear analogue of the Li-Yau inequality for positive solutions of the normalized parabolic $p$-Laplacian equation \[ u_t = \Delta u + (p-2)|\nabla u|^{-2}\nabla^2u(\nabla u,\nabla u),\ \ \ 1<p<\infty, \] on a closed Riemannian manifold with nonnegative Ricci curvature, the equation being interprete...

Agnid Banerjee, Nicola Garofalo, Hamidreza Mahmoudian · 2 citations

Preprint Aug 2026

A nonlinear Li-Yau inequality and its consequences

We prove a sharp nonlinear version of the celebrated Li-Yau inequality for positive solutions of the normalized parabolic $p$-Laplacian equation $u_t = \Delta u + (p-2)|\nabla u|^{-2}\nabla^2u(\nabla u,\nabla u)$, $1<p<\infty$, on a closed Riemannian manifold with nonnegative Ricci curvature, the equation being interpr...

Agnid Banerjee, Nicola Garofalo, Hamidreza Mahmoudian · 2 citations