Lipschitz Interior regularity for the viscosity and weak solutions of the pseudo-$p$Laplacian

Abstract

We prove interior Lipschitz regularity result for weak and viscosity solutions of the pseudo $p$Laplacien $(p-1){\sum }_i|{\partial }_{i}u{|}^{p-2}{\partial }_{ii}u=f$ for $p>2$ and $f$ bounded.

28 pages, no figure