.png){kind=icon}
.png){kind=icon}
Return
Kazdan-Warner Equation on Hypergraphs
.png){kind=icon}
PRE
AI
DOI：10.1007/s11253-026-02560-1.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
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 Delta Phi = c -he(Phi) on H, where c is a constant and h is a known function defined on H. Based on the work by Grigor'yan, Lin, and Yang [A. Grigor'yan, Y. Lin, and Y. Yang, Calc. Var. Partial Differen. Equat., 55, No. 4, Article 92 (2016)], we employ the variational calculus to extend the main results concerning the solutions to the Kazdan-Warner equation from finite graphs to hypergraphs. We obtain similar results for the cases where c > 0 and c < 0 provided that h satisfies certain conditions on hypergraphs. However, for the case where c = 0, we cannot get the same results.
Journal
U
IF:
0.6
Papers:
124
Citations:
0