有限图上负型分数 Kazdan--Warner 方程的拓扑度
星系天体物理
2026-05-15 v3
摘要
关于图上Kazdan--Warner方程的研究稳步增长，但分数情形仍不足够探索。本文使用拓扑度理论，研究有限连通图上负型分数Kazdan--Warner方程，聚焦于解的存在性与数目性。本工作不仅将S. Liu和Yang(2020)的早期结果推广到分数情形，还为Shan和Y. Liu(2025)的工作提供简洁的证明。
引用
@article{arxiv.2512.10298,
title = {Tracking Protostellar Variability in Massive Protoclusters with ALMA: I. Insights from QUARKS and MaMMOtH},
author = {Yuhan Yang and Tie Liu and Sheng-Yuan Liu and Doug Johnstone and Gregory Herczeg and Wenyu Jiao and Yu-Nung Su and Xiaofeng Mai and Fengwei Xu and Dominique Meyer and Siju Zhang and Eduard Vorobyov and Suinan Zhang and Qiuyi Luo and Guido Garay and Xi Chen and Yunfan Jiao and Qi-lao Gu and Yan-kun Zhang and Ken'ichi Tatematsu and Kee-Tae Kim and Andrey Sobolev and Sergey Parfenov and Dmitry A. Ladeyschikov and Leonardo Bronfman},
journal= {arXiv preprint arXiv:2512.10298},
year = {2026}
}
备注
Accepted for publication in The Astrophysical Journal, one plot updated