发表机构
Suzhou University of Science and Technology（苏州科技大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对一般测度（m>1）提出了仿射对偶Minkowski问题解存在的必要且充分条件，推广了2025年Cai等人关于偶测度的结果。
AI 中文摘要
2025年，Cai、Leng、Wu和Xi引入了凸体K的仿射对偶曲率测度$\widetilde{C}_m^a(K,\cdot)$，并解决了仿射对偶曲率测度的偶Minkowski问题。本文针对m>1的一般测度，提出了仿射对偶Minkowski问题的必要且充分条件。
英文摘要
In 2025, the affine dual curvature measures $\widetilde{C}_m^a(K,\cdot)$ of convex body $K$ were introduced by Cai, Leng, Wu, and Xi, and the even Minkowski problem for the affine dual curvature measures was solved. In this paper, the necessary and sufficient condition of affine dual Minkowski problem for general measures with $m>1$ are proposed.
