108 citations · 181 across the 39 of their papers we have counts for
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Equivalence of Lin--Lu--Yau curvature and 1/2-Ollivier curvature on weighted graphs
Shiping Liu, Yunyan Yang
In this note, we prove that, on weighted graphs, the Lin--Lu--Yau curvature coincides with the -Ollivier curvature up to scaling whenever the idleness parameter . Mor…
Boundary value problem for the mean field equation on a compact Riemann surface
Jiayu Li, Linlin Sun, Yunyan Yang
Let be a compact Riemann surface with smooth boundary , be the Laplace-Beltrami operator, and be a positive smooth function. Using a min-max scheme int…
Blow-up analysis involving isothermal coordinates on the boundary of compact Riemann surface
Yunyan Yang, Jie Zhou
Using the method of blow-up analysis, we obtain two sharp Trudinger-Moser inequalities on a compact Riemann surface with smooth boundary, as well as the existence of the correspond…
Global gradient estimate on graph and its applications
Yong Lin, Shuang Liu, Yunyan Yang
Continuing our previous work (arXiv:1509.07981v1), we derive another global gradient estimate for positive functions, particularly for positive solutions to the heat equation on fi…
A gradient estimate for positive functions on graphs
Yong Lin, Shuang Liu, Yunyan Yang
We derive a gradient estimate for positive functions, in particular for positive solutions to the heat equation, on finite or locally finite graphs. Unlike the well known Li-Yau es…
A Trudinger-Moser inequality on compact Riemannian surface involving Gaussian curvature
Yunyan Yang
Motivated by a recent work of X. Chen and M. Zhu (Commun. Math. Stat., 1 (2013) 369-385), we establish a Trudinger-Moser inequality on compact Riemannian surface without boundary.…