48 citations · 52 across the 16 of their papers we have counts for
15 papers · 1 filter
A heat flow for the mean field equation on a finite graph
Yong Lin, Yunyan Yang
Inspired by works of Castéras (Pacific J. Math., 2015), Li-Zhu (Calc. Var., 2019) and Sun-Zhu (Calc. Var., 2020), we propose a heat flow for the mean field equation on a connected…
Calculus of variations on locally finite graphs
Yong Lin, Yunyan Yang
Let be a locally finite graph. Firstly, using calculus of variations, including a direct method of variation and the mountain-pass theory, we get sequences of solutions t…
Existence results for a generalized mean field equation on a closed Riemann surface
Linlin Sun, Yamin Wang, Yunyan Yang
Let be a closed Riemann surface, a positive smooth function on , and real numbers. In this paper, we study a generalized mean field equation \begin{align*} -Δu=ρ…
Multiple solutions of Kazdan-Warner equation on graphs in the negative case
Shuang Liu, Yunyan Yang
Let be a finite connected graph, and let be a function such that . We consider the following Kazdan-Warner equation on :\[Δu+…
Nonexistence of extremals for an inequality of Adimurthi-Druet on a closed Riemann surface
Yunyan Yang
Based on a recent work of Mancini-Thizy [28], we obtain the nonexistence of extremals for an inequality of Adimurthi-Druet [1] on a closed Riemann surface . Precisely, if $λ…
Mean field equations on a closed Riemannian surface with the action of an isometric group
Yunyan Yang, Xiaobao Zhu
Let be a closed Riemannian surface, be an isometric group acting on it. Denote a positive integer , where is t…