7 citations · 9 across the 6 of their papers we have counts for
6 papers
Existence results for some nonlinear elliptic systems on graphs
Shoudong Man
In this paper, several nonlinear elliptic systems are investigated on graphs. One type of the sobolev embedding theorem and a new version of the strong maximum principle are establ…
On a class of quasilinear elliptic equation with indefinite weights on graphs
Shoudong Man, Guoqing Zhang
Suppose that is a connected locally finite graph with the vertex set and the edge set . Let be a bounded domain. Consider the following quasilinear e…
On a class of nonlinear Schrödinger equation on finite graphs
Shoudong Man
Suppose that is a finite graph with the vertex set and the edge set . Let be the usual graph Laplacian. Consider the following nonlinear Schrdinger…
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 on graphs for , which is a nonline…
Hypergraphs with Spectral Radius at most
Linyuan Lu, Shoudong Man
In our previous paper, we classified all -uniform hypergraphs with spectral radius at most , which directly generalizes Smith's theorem for the graph case $r=…
Connected Hypergraphs with Small Spectral Radius
Linyuan Lu, Shoudong Man
In 1970 Smith classified all connected graphs with the spectral radius at most . Here the spectral radius of a graph is the largest eigenvalue of its adjacency matrix. Recently,…