108 citations · 358 across the 34 of their papers we have counts for
36 papers
Semilinear heat equations and parabolic variational inequalities on graphs
Yong Lin, Yuanyuan Xie
Let be a locally finite connected weighted graph, and be an unbounded subset of . Using Rothe's method, we study the existence of solutions for the semilinear heat…
Application of Rothe's method to a nonlinear wave equation on graphs
Yong Lin, Yuanyuan Xie
We study a nonlinear wave equation on finite connected weighted graphs. Using Rothe's and energy methods, we prove the existence and uniqueness of solution under certain assumption…
Witten-Morse functions and Morse inequalities on digraphs
Yong Lin, Chong Wang
In this paper, we prove that discrete Morse functions on digraphs are flat Witten-Morse functions and Witten complexes of transitive digraphs approach to Morse complexes. We constr…
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…
Torsion of digraphs and path complexes
Alexander Grigor'yan, Yong Lin, Shing-Tung Yau
We define the notions of Reidemeister torsion and analytic torsion for directed graphs by means of the path homology theory introduced by the authors in \cite{Grigoryan-Lin-Muranov…