Inserted: 28 sep 2012
Last Updated: 6 feb 2013
Journal: Arch. Rat. Mech. Anal.
Pointwise gradient bounds via Riesz potentials like those available for the linear Poisson equation actually hold for general quasilinear degenerate equations of $p$-Laplacean type. The regularity theory of such equations completely reduces to that of the classical Poisson equation up to the $C^1$-level