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

## TL;DR

This paper explores an Orlicz extension of the Lp-Minkowski problem on the sphere for negative p values between -n and 0, expanding the theoretical framework of convex geometric analysis.

## Contribution

It introduces an Orlicz version of the Lp-Minkowski problem specifically for the case -n<p<0, providing new insights into convex geometric measures.

## Key findings

- Formulation of the Orlicz Lp-Minkowski problem for -n<p<0
- Establishment of existence and uniqueness results in this setting
- Extension of classical Minkowski problem to Orlicz spaces

## Abstract

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