On the regularity of Anisotropic p-Laplacean Operators: the pursuit of a comprehensive theory of regularity

Abstract

With this note, we aim at drawing a short, coherent, and compact guide of the state-of-the-art on the theory of basic regularity, such as local boundedness, local Hölder continuity, Harnack estimates and some of their consequences, in the context of solutions to anisotropic p-Laplacean operators, elliptic and parabolic.