11 citations · 19 across the 16 of their papers we have counts for
4 papers · 2 filters
Nonlocal Harnack inequalities in the Heisenberg group
Giampiero Palatucci, Mirco Piccinini
We deal with a wide class of nonlinear integro-differential problems in the Heisenberg-Weyl group , whose prototype is the Dirichlet problem for the -fractional su…
The obstacle problem and the Perron Method for nonlinear fractional equations in the Heisenberg group
Mirco Piccinini
We study the obstacle problem related to a wide class of nonlinear integro-differential operators, whose model is the fractional subLaplacian in the Heisenberg group. We prove both…
Hölder continuity and boundedness estimates for nonlinear fractional equations in the Heisenberg group
Maria Manfredini, Giampiero Palatucci, Mirco Piccinini +1
We extend the celebrate De Giorgi-Nash-Moser theory to a wide class of nonlinear equations driven by nonlocal, possibly degenerate, integro-differential operators, whose model is t…
Borderline global regularity for nonuniformly elliptic systems
Cristiana De Filippis, Mirco Piccinini
We establish sharp global regularity results for solutions to nonhomogeneous, nonunifomrly elliptic systems with zero boundary conditions. In particular, we obtain everywhere Lipsc…