Abstract
In this paper, we prove two existence results of solutions to mean field equations Delta u+eu=rho delta 0 are arbitrarily chosen distinct vertices on the graph.
- Title
- Existence of Solutions to Mean Field Equations on Graphs
- Creators
- An Huang - Brandeis University, Department of MathematicsYong Lin - Tsinghua Univ, Yau Math Sci Ctr, Beijing, Peoples R ChinaShing-Tung Yau - Harvard University
- Publication Details
- Communications in mathematical physics, Vol.377(1), pp.613-621
- Publisher
- SPRINGER
- Number of pages
- 9
- Grant note
- 11271011; 11761131002 / National Science Foundation of China DMS-0804 / NSF
- Identifiers
- 9924117684201921
- Academic Unit
- Department of Mathematics
- Language
- English
- Resource Type
- Journal article