X. Li

collaborators

2 papers

math.FA2025

The Gaussian Minkowski problem for epigraphs of convex functions

Xiao Li, Deping Ye

A variational formula is derived by combining the Gaussian volume of the epigraph of a convex function $I ¨ $ and the perturbation of $I ¨ $ via the infimal convolution. This formula n…

math.FA2025

A Minkowski problem for $I^\pm$ -concave functions via optimal transport

Xiao Li, Nguyen Dac Khoi Nguyen, Deping Ye

The notions of the Euclidean surface area measure and the spherical surface area measure of $I^\pm$ -concave functions in $R^{n}$ , with $- \frac{1}{n} < I^\pm < 0$ , are introduced via a…

The Gaussian Minkowski problem for epigraphs of convex functions

A Minkowski problem for I^±-concave functions via optimal transport

A Minkowski problem for $I^\pm$ -concave functions via optimal transport