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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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math.AP2017★ 2 cited

Blow-up problems for nonlinear parabolic equations on locally finite graphs

Yong Lin, Yiting Wu

Let be a locally finite connected weighted graph, be the usual graph Laplacian. In this paper, we study the blow-up problems for the nonlinear parabolic equation $u_t…

math.AP2017★ 4 cited

The existence and nonexistence of global solutions for a semilinear heat equation on graphs

Yong Lin, Yiting Wu

Let be a finite or locally finite connected weighted graph, be the usual graph Laplacian. Using heat kernel estimate, we prove the existence and nonexistence of globa…