Work

The Dual Minkowski Problem for Positive Indices

Year: 2025

Type: article

Abstract: We derive the stability result of the dual curvature measure with near-constant density in the even case. As an application, the existence and uniqueness of solutions to the even dual Minkowski problem for positive indices in $\mathbb R^{n+1}$ are obtained with $n\geq 1$, provided the density of the given measure is close to 1 in the $C^{\alpha }$ norm with $\alpha \in (0,1)$.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnaf192

Author: Jinrong Hu

Institution: TU Wien

Language: English

Topic: Point processes and geometric inequalities

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,534

Funder: Austrian Science Fund