108 citations · 358 across the 34 of their papers we have counts for
4 papers · 2 filters
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…
Existence of positive solutions to some nonlinear equations on locally finite graphs
Alexander Grigor'yan, Yong Lin, Yunyan Yang
Let be a locally finite graph, whose measure have positive lower bound, and be the usual graph Laplacian. Applying the mountain-pass theorem due to Ambrosetti-…
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…
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…