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math.FA2012
A class of second order dilation invariant inequalities
Paolo Caldiroli, Roberta Musina
We compute the best constants in some second order dilation invariant inequalities, with weights being powers of the distance from the origin.
math.DG2012
Radial graphs over domains of with prescribed mean curvature
Paolo Caldiroli, Giovanni Gullino
We prove the existence and uniqueness of radial graphs over a given domain of having boundary on the sphere and whose mean curvature at every poin…