108 citations · 358 across the 34 of their papers we have counts for
12 papers · 1 filter
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…
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 of Solutions to Mean Field Equations on Graphs
An Huang, Yong Lin, Shing-Tung Yau
In this paper, we prove two existence results of solutions to mean field equations and on an arbitrary connected finit…
Blow-up problems for nonlinear parabolic equations on locally finite graphs
Yong Lin, Yiting Wu
Let be a locally finite connected weighted graph, be the usual graph Laplacian. In this paper, we study the blow-up problems for the nonlinear parabolic equation $u_t…