We develop an existence, regularity and potential theory for nonlinear integrodifferential
equations involving measure data. The nonlocal elliptic operators considered are possibly …

One of the basic achievements in nonlinear potential theory is that the typical linear
pointwise estimates via fundamental solutions find a precise analog in the case of nonlinear …

Gradient estimates via non-linear potentials Page 1 Gradient estimates via non-linear
potentials Frank Duzaar, Giuseppe Mingione American Journal of Mathematics, Volume 133 …

We settle the longstanding problem of establishing pointwise potential estimates for vectorial
solutions u:→ RN to the non-homogeneous p-Laplacean system− div (| Du| p− 2 Du)= µ in⊂ …

Gradient potential estimates Page 1 DOI 10.4171/JEMS/258 J. Eur. Math. Soc. 13, 459–486 c
European Mathematical Society 2011 Giuseppe Mingione Gradient potential estimates …

Pointwise gradient bounds via Riesz potentials, such as those available for the linear
Poisson equation, actually hold for general quasilinear degenerate equations of p …

We prove a class of endpoint pointwise estimates for solutions to quasilinear, possibly
degenerate elliptic equations in terms of linear and nonlinear potentials of Wolff type of the …

We prove new potential and nonlinear potential pointwise gradient estimates for solutions to
measure data problems, involving possibly degenerate quasilinear operators whose …

We prove a maximal differentiability and regularity result for solutions to nonlinear measure
data problems. Specifically, we deal with the limiting case of the classical theory of Calderón …

The Lipschitz continuity of solutions to Dirichlet and Neumann problems for nonlinear elliptic
equations, including the p-Laplace equation, is established under minimal integrability …