Kazdan–Warner equation on hypergraphs

• Datum: 2026
• Hauptverfasser: Zhang, Haigang, Zhao, Juan
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2026
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/9163
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 519.17. 519.951 Let $H=(V, E)$ be a connected finite  hypergraph, which is an extension of the graph theory in which the edges may connect more than two vertices and form hyperedges. We study the Kazdan-Warner equation\begin{gather*}\Delta \phi=c-he^{\phi}\end{gather*} on $H,$ where $c$ is a con...