A. Colesanti

activity

20052025

most citedThe

L_{p}

-Minkowski problem for

- n < p < 1

66 citations · 383 across the 32 of their papers we have counts for

collaborators

Showing math.APShow all

4 papers · 1 filter

math.AP2025

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 $p$ -operator \[ -Δ_{p,γ}u=-\text{div}(|\nabla u|^{p-2} \nabla u)+(x,\nabl…

math.AP2024

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 $L (u) = Δ u - ⟨ \nabla u, x ⟩,$ as a function of the domain, is convex with r…

math.AP2018★ 15 cited

The Orlicz version of the $L_{p}$ Minkowski problem on $S^{n - 1}$ for $- n < p < 0$

Gabriele Bianchi, Károly J. Böröczky, Andrea Colesanti

An Orlicz version of the $L_{p}$ -Minkowski problem on $S^{n - 1}$ is discussed corresponding to the case $- n < p < 0$ .

math.AP2008★ 1 cited

The Minkowski problem for the torsional rigidity

A. Colesanti, M. Fimiani

We prove the existence and uniqueness up to translations of the solution to a Minkowski type problem for the torsional rigidity in the class of open bounded convex subsets of the $…

Geometric properties of solutions to elliptic PDE's in Gauss space and related Brunn-Minkowski type inequalities

The Brunn-Minkowski inequality for the first eigenvalue of the Ornstein-Uhlenbeck operator and log-concavity of the relevant eigenfunction

The Orlicz version of the Lp​ Minkowski problem on Sn−1 for −n<p<0

The Minkowski problem for the torsional rigidity

The Orlicz version of the $L_{p}$ Minkowski problem on $S^{n - 1}$ for $- n < p < 0$