66 citations · 383 across the 32 of their papers we have counts for
36 papers
Geometric properties of solutions to elliptic PDE's in Gauss space and related Brunn-Minkowski type inequalities
Andrea Colesanti, Lei Qin, Paolo Salani
We prove a Brunn-Minkowski type inequality for the first (nontrivial) Dirichlet eigenvalue of the weighted -operator \[ -Δ_{p,γ}u=-\text{div}(|\nabla u|^{p-2} \nabla u)+(x,\nabl…
The Brunn-Minkowski inequality for the first eigenvalue of the Ornstein-Uhlenbeck operator and log-concavity of the relevant eigenfunction
Andrea Colesanti, Elisa Francini, Galyna Livshyts +1
We prove that the first (nontrivial) Dirichlet eigenvalue of the Ornstein-Uhlenbeck operator as a function of the domain, is convex with r…
The homogeneous decomposition of dually translation invariant valuations on Lipschitz functions on the sphere
Andrea Colesanti, Jonas Knoerr, Daniele Pagnini
We show that every continuous and dually translation invariant valuation on the space of Lipschitz functions on the unit sphere of , , can be decomposed unique…
The Hadwiger theorem on convex functions, IV: The Klain approach
Andrea Colesanti, Monika Ludwig, Fabian Mussnig
New proofs of the Hadwiger theorem for smooth and for continuous valuations on convex functions are obtained, and the Klain-Schneider theorem on convex functions is established. In…
The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures
Andrea Colesanti, Monika Ludwig, Fabian Mussnig
A complete family of functional Steiner formulas is established. As applications, an explicit representation of functional intrinsic volumes using special mixed Monge-Ampère measur…
The Hadwiger theorem on convex functions, II: Cauchy-Kubota formulas
Andrea Colesanti, Monika Ludwig, Fabian Mussnig
A new version of the Hadwiger theorem on convex functions is established and an explicit representation of functional intrinsic volumes is found using new functional Cauchy-Kubota…