Yong Lin

activity

20112021

most citedExistence of positive solutions to some nonlinear equations on locally finite graphs

108 citations · 358 across the 34 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.AT2019★ 4 cited

Weighted Path homology of Weighted Digraphs and Persistence

Yong Lin, Shiquan Ren, Chong Wang +1

In recent years, A. Grigor'yan, Y. Lin, Y. Muranov and S.T. Yau [6, 7, 8, 9] constructed a path homology theory for digraphs. Later, S. Chowdhury and F. Memoli [3] studied the pers…

math.AP2019★ 52 cited

Existence of Solutions to Mean Field Equations on Graphs

An Huang, Yong Lin, Shing-Tung Yau

In this paper, we prove two existence results of solutions to mean field equations $Δ u + e^{u} = ρ δ_{0}$ and $Δ u = λ e^{u} (e^{u} - 1) + 4 π j = 1 \sum M δ_{p_{j}}$ on an arbitrary connected finit…