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math.AP2016★ 4 cited
On-diagonal lower estimate of heat kernel on graphs
Yong Lin, Yiting Wu
The purpose of this paper is to establish a new continuous-time on-diagonal lower estimate of heat kernel for large time on graphs. To achieve the goal, we first give an upper boun…
math.AP2016
Kazdan-Warner equation on graph
Alexander Grigor'yan, Yong Lin, Yunyan Yang
Let be a finite graph and be the usual graph Laplacian. Using the calculus of variations and a method of upper and lower solutions, we give various conditions such th…
math.AP2016
Yamabe type equations on graphs
Alexander Grigor'yan, Yong Lin, Yunyan Yang
Let be a locally finite graph, be a bounded domain, be the usual graph Laplacian, and be the first eigenvalue of with respect to Dirichlet…