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math.AP2022
Harnack inequality and asymptotic lower bounds for the relativistic Fokker-Planck operator
Francesca Anceschi, Sergio Polidoro, Annalaura Rebucci
We consider a class of second order degenerate kinetic operators in the framework of special relativity. We first describe as an Hörmander operator whic…
math.AP2022
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…
math.AP2022★ 1 cited
Mean value formulas for classical solutions to some degenerate elliptic equations in Carnot groups
Diego Pallara, Sergio Polidoro
We prove surface and volume mean value formulas for classical solutions to uniformly elliptic equations in divergence form with Hölder continuous coefficients. The kernels appearin…