3 citations · 5 across the 5 of their papers we have counts for
9 papers
Wulff shape symmetry of solutions to overdetermined problems for Finsler Monge-Ampère equations
Andrea Cianchi, Paolo Salani
We deal with Monge-Ampère type equations modeled upon general anisotropic norms in . An overdetermined problem for convex solutions to these equations is analyzed.…
New characterizations of log-concavity
Kazuhiro Ishige, Paolo Salani, Asuka Takatsu
We introduce a notion of -concavity which largely generalizes the usual concavity. By the use of the notions of closedness under positive scalar multiplication and closedness un…
Power concavity for elliptic and parabolic boundary value problems on rotationally symmetric domains
Kazuhiro Ishige, Paolo Salani, Asuka Takatsu
We study power concavity of rotationally symmetric solutions to elliptic and parabolic boundary value problems on rotationally symmetric domains in Riemannian manifolds. As applica…
Parabolic Minkowski convolutions of viscosity solutions to fully nonlinear equations
Kazuhiro Ishige, Qing Liu, Paolo Salani
This paper is concerned with the Minkowski convolution of viscosity solutions of fully nonlinear parabolic equations. We adopt this convolution to compare viscosity solutions of in…
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…
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…