TY - JOUR
T1 - Mean Field Equations for the Equilibrium Turbulence and Toda Systems on Connected Finite Graphs
AU - Zhu , Xiaobao
JO - Journal of Partial Differential Equations
VL - 3
SP - 199
EP - 207
PY - 2022
DA - 2022/06
SN - 35
DO - http://doi.org/10.4208/jpde.v35.n3.1
UR - https://global-sci.org/intro/article_detail/jpde/20771.html
KW - Mean field equation, equilibrium turbulence, Toda system, finite graph.
AB - <p style="text-align: justify;">In this paper, we study existence of solutions of mean field equations for the equilibrium turbulence and Toda systems on connected finite graphs. Our method is based on calculus of variations, which was built on connected finite graphs by Grigor&#39;yan, Lin and Yang.</p>