2 papers
math.AP2026
A constant rank theorem for linear elliptic equations on the sphere with applications to the mixed Christoffel problem
A. Colesanti, M. Focardi, P. Guan +1
We study the mixed Christoffel problem for convex bodies providing sufficient conditions for its solution. Key to our approach is a constant rank theorem, following the a…
math.AP2026
Log-concavity of solutions of parabolic equations related to the Ornstein-Uhlenbeck operator and applications
Andrea Colesanti, Lei Qin, Paolo Salani
In this paper, we investigate the log-concavity of the kernel for the parabolic Ornstein-Uhlenbeck operator in a bounded, convex domain. Consequently, we get the preservation of th…