To the families of geometric measures of convex bodies (the area measures of Aleksandrov‐
Fenchel‐Jessen, the curvature measures of Federer, and the recently discovered dual …

Abstract The Minkowski problem in Gaussian probability space is studied in this paper. In
addition to providing an existence result on a Gaussian-volume-normalized version of this …

We will be concerned with the L p Gaussian Minkowski problem in Gaussian probability
space, which amounts to solving a class of Monge-Ampère type equations on the sphere. In …

Chord measures are newly discovered translation-invariant geometric measures of convex
bodies in R n, in addition to Aleksandrov-Fenchel-Jessen's area measures. They are …

The current work focuses on the Gaussian-Minkowski problem in dimension 2. In particular,
we show that if the Gaussian surface area measure is proportional to the spherical …

General L p dual curvature measures have recently been introduced by Lutwak, Yang and
Zhang [24]. These new measures unify several other geometric measures of the Brunn …

In this paper the dual Orlicz–Minkowski problem, a generalization of the $ L_p $ dual
Minkowski problem, is studied. By studying a flow involving the Gauss curvature and support …

For convex bodies K in R^ n R n containing the origin in their interiors, the general dual
volume and the general dual Orlicz curvature measure C _ G, ψ (K, ⋅) C~ G, ψ (K,·) were …

The $$L_p$$ -Gaussian Minkowski problem | Calculus of Variations and Partial Differential
Equations Skip to main content SpringerLink Account Menu Find a journal Publish with us …

This is an expository paper about the fundamental mathematical notion of starshapedness,
emphasizing the geometric, analytical, combinatorial, and topological properties of …