18 citations · 24 across the 7 of their papers we have counts for
8 papers
Intrinsic Hölder spaces for fractional kinetic operators
Maria Manfredini, Stefano Pagliarani, Sergio Polidoro
We introduce anisotropic Hölder spaces useful for the study of the regularity theory for non local kinetic operators whose prototypal example is \begin{equation} \mat…
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…
The Dirichlet problem for a family of totally degenerate differential operators
Maria Manfredini, Mirco Piccinini, Sergio Polidoro
In the framework of Potential Theory we prove existence or the Perron-Weiner-Brelot-Bauer solution to the Dirichlet problem related to a family of totally degenerate, in the sense…
Regularity of mean curvature flow of graphs on Lie groups free up to step 2
Luca Capogna, Giovanna Citti, Maria Manfredini
We consider (smooth) solutions of the mean curvature flow of graphs over bounded domains in a Lie group free up to step two (and not necessarily nilpotent), endowed with a one para…
Fundamental solutions and local solvability for nonsmooth Hörmander's operators
Marco Bramanti, Luca Brandolini, Maria Manfredini +1
We consider operators of the form in a bounded domain of R^p where X_0, X_1,...,X_n are nonsmooth Hörmander's vector fields of step r such that th…
Uniform Gaussian bounds for subelliptic heat kernels and an application to the total variation flow of graphs over Carnot groups
Luca Capogna, Giovanna Citti, Maria Manfredini
In this paper we study heat kernels associated to a Carnot group , endowed with a family of collapsing left-invariant Riemannian metrics $σ_\e$ which converge in the Gromov-Haus…