S. Man

activity

20142023

most citedConnected Hypergraphs with Small Spectral Radius

7 citations · 9 across the 6 of their papers we have counts for

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Showing 2019 · math.DGShow all

3 papers · 2 filters

math.DG2019★ 1 cited

On a class of quasilinear elliptic equation with indefinite weights on graphs

Shoudong Man, Guoqing Zhang

Suppose that $G = (V, E)$ is a connected locally finite graph with the vertex set $V$ and the edge set $E$ . Let $Ω \subset V$ be a bounded domain. Consider the following quasilinear e…

math.DG2019

On a class of nonlinear Schrödinger equation on finite graphs

Shoudong Man

Suppose that $G = (V, E)$ is a finite graph with the vertex set $V$ and the edge set $E$ . Let $Δ$ be the usual graph Laplacian. Consider the following nonlinear Schr $o ¨$ dinger…

math.DG2019

Gradient estimates for the weighted porous medium equation on graphs

Shoudong Man

In this paper, we study the gradient estimates for the positive solutions of the weighted porous medium equation $Δ u^{m} = δ (x) u_{t} + ψ u^{m}$ on graphs for $m > 1$ , which is a nonline…