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math.AP2018
A class of nonlocal hypoelliptic operators and their extensions
Nicola Garofalo, Giulio Tralli
In this paper we study nonlocal equations driven by the fractional powers of hypoelliptic operators in the form $$\mathscr K u = \mathscr A u - \partial_t u \overset{def}{=} \opera…
math.AP2018
Overdetermined problems and constant mean curvature surfaces in cones
Filomena Pacella, Giulio Tralli
We consider a partially overdetermined problem in a sector-like domain in a cone in , , and prove a rigidity result of Serrin type by showing that th…