6 citations · 8 across the 12 of their papers we have counts for
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Comparisons of Dirichlet, Neumann and Laplacian eigenvalues on graphs and their applications
Yongjie Shi, Chengjie Yu
In this paper, we obtain some comparisons of the Dirichlet, Neumann and Laplacian eigenvalues on graphs. We also discuss their rigidities and some of their applications including s…
A Lichnerowicz-type estimate for Steklov eigenvalues on graphs and its rigidity
Yongjie Shi, Chengjie Yu
In this paper, we obtain a Lichnerowicz-type estimate for the first Steklov eigenvalues on graphs and discuss its rigidity.
Comparison of Steklov eigenvalues and Laplacian eigenvalues on graphs
Yongjie Shi, Chengjie Yu
In this paper, we obtain a comparison of Steklov eigenvalues and Laplacian eigenvalues on graphs and discuss its rigidity. As applications of the comparison of eigenvalues, we obta…
Rigidity of a trace estimate for Steklov eigenvalues
Yongjie Shi, Chengjie Yu
In this short note, we show the rigidity of a trace estimate for Steklov eigenvalues with respect to functions in our previous work (Trace and inverse trace of Steklov eigenvalues.…
Higher order Dirichlet-to-Neumann maps on graphs and their eigenvalues
Yongjie Shi, Chengjie Yu
In this paper, we first introduce higher order Dirichlet-to-Neumann maps on graphs which can be viewed as a discrete analogue of the corresponding Dirichlet-to-Neumann maps on comp…
Trace and inverse trace of Steklov eigenvalues
Yongjie Shi, Chengjie Yu
In this paper, we obtain some new estimates for the trace and inverse trace of Steklov eigenvalues. The estimates generalize some previous results of Hersch-Payne-Schiffer , Brock}…
Trace and inverse trace of Steklov eigenvalues II
Yongjie Shi, Chengjie Yu
This is a continuation of our previous work arXiv:1601.05617 on trace and inverse trace of Steklov eigenvalues. More new inequalities for the trace and inverse trace of Steklov eig…