11 citations · 19 across the 16 of their papers we have counts for
7 papers · 2 filters
A limiting case in partial regularity for quasiconvex functionals
Mirco Piccinini
Local minimizers of nonhomogeneous quasiconvex variational integrals with standard -growth of the type feature almost everywhe…
Struwe's Global Compactness and energy approximation of the critical Sobolev embedding in the Heisenberg group
Giampiero Palatucci, Mirco Piccinini, Letizia Temperini
We investigate some of the effects of the lack of compactness in the critical Folland-Stein-Sobolev embedding in very general (possible non-smooth) domains, by proving via De Giorg…
Global Compactness, subcritical approximation of the Sobolev quotient, and a related concentration result in the Heisenberg group
Giampiero Palatucci, Mirco Piccinini, Letizia Temperini
We investigate some effects of the lack of compactness in the critical Sobolev embedding in the Heisenberg group.
Nonlinear fractional equations in the Heisenberg group
Giampiero Palatucci, Mirco Piccinini
We deal with a wide class of nonlinear nonlocal equations led by integro-differential operators of order , with summability exponent and differentiability…
Asymptotic approach to singular solutions for the CR Yamabe equation
Giampiero Palatucci, Mirco Piccinini
We study the loss of compactness for optimal functions of a subcritical approximations of the sharp Folland-Stein-Sobolev embedding in the Heisenberg group. When blow-up is prevent…
New perspectives on recent trends for Kolmogorov operators
Francesca Anceschi, Mirco Piccinini, Annalaura Rebucci
After carrying out an overview on the non Euclidean geometrical setting suitable for the study of Kolmogorov operators with rough coefficients, we list some properties of the funct…
Boundedness estimates for nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations
Francesca Anceschi, Mirco Piccinini
We investigate local regularity properties of weak solutions to a broad class of nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations. In particular, we focus on proving a…