TY  - JOUR
T1  - Potential estimates for the  p-Laplace system with data in divergence form
A1  - Cianchi, Andrea
A1  - Schwarzacher, Sebastian
JA  - JDE
Y1  - 2017
N2  - A pointwise bound for local weak solutions to the p-Laplace system is established in terms
of data on the right-hand side in divergence form. The relevant bound involves a Havin-Maz'ya-
Wul potential of the datum, and is a counterpart for data in divergence form of a classical result of
[KiMa], that has recently been extended to systems in [KuMi2]. A local bound for oscillations is also
provided. These results allow for a unied approach to regularity estimates for broad classes of norms,
including Banach function norms (e.g. Lebesgue, Lorentz and Orlicz norms), and norms depending
on the oscillation of functions (e.g. Holder, BMO and, more generally, Campanato type norms). In
particular, new regularity properties are exhibited, and well-known results are easily recovered.
M1  - Preprint project = MORE
M1  - Preprint year = 2017
M1  - Preprint number = 16
M1  - Preprint ID = MORE/2017/16
ER  -