Alexander Grigorʼyan

6 citations · 6 across the 4 of their papers we have counts for

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math.AP2016

Kazdan-Warner equation on graph

Alexander Grigor'yan, Yong Lin, Yunyan Yang

Let $G = (V, E)$ be a finite graph and $Δ$ 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 $G = (V, E)$ be a locally finite graph, $Ω \subset V$ be a bounded domain, $Δ$ be the usual graph Laplacian, and $λ_{1} (Ω)$ be the first eigenvalue of $- Δ$ with respect to Dirichlet…