108 citations · 358 across the 34 of their papers we have counts for
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math.DG2017
Payne-Polya-Weinberger, Hile-Protter and Yang's inequalities for Dirichlet Laplace eigenvalues on integer lattices
Bobo Hua, Yong Lin, Yanhui Su
In this paper, we prove some analogues of Payne-Polya-Weinberger, Hile-Protter and Yang's inequalities for Dirichlet (discrete) Laplace eigenvalues on any subset in the integer lat…
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…