Local smoothing effects, positivity, and Harnack inequalities for the fast p-Laplacian equation

M. Bonforte, R. G. Iagar, J. L. Vazquez

We study qualitative and quantitative properties of local weak solutions of the fast $p$-Laplacian equation, ${\partial }_{t}u={\Delta }_{p}u$, with $1<p<2$. Our main results are quantitative…