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math.AP2018★ 19 cited
To logconcavity and beyond
Kazuhiro Ishige, Paolo Salani, Asuka Takatsu
In 1976 Brascamp and Lieb proved that the heat flow preserves logconcavity. In this paper, introducing a variation of concavity, we show that it preserves in fact a stronger proper…
math.AP2018
Starshapedeness for fully-nonlinear equations in Carnot groups
Federica Dragoni, Nicola Garofalo, Paolo Salani
In this paper we establish the starshapedness of the level sets of the capacitary potential of a large class of fully-nonlinear equations for condensers in Carnot groups, once a na…
math.AP2018
Some overdetermined problems related to the anisotropic capacity
Chiara Bianchini, Giulio Ciraolo, Paolo Salani
We characterize the Wulff shape of an anisotropic norm in terms of solutions to overdetermined problems for the Finsler -capacity of a convex set , with $…