6 citations · 8 across the 7 of their papers we have counts for
9 papers
Sharp Gagliardo-Nirenberg inequality and logarithmic Sobolev inequality on integer lattices
Yongjie Shi, Chengjie Yu
In this paper, we obtain a sharp Garliardo-Nirenberg inequality on integer lattices and characterize its rigidity. Moreover, as a consequence of the sharp Garliardo-Nirenberg inequ…
Extension and rigidity of Perrin's lower bound estimate for Steklov eigenvalues on graphs
Yongjie Shi, Chengjie Yu
In this paper, we extend a lower bound estimate for Steklov eigenvalues by Perrin \cite{Pe} on unit-weighted graphs to general weighted graphs and characterise its rigidity.
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.
Uniqueness of exterior differentiation on locally finite graphs
Yongjie Shi, Chengjie Yu
In this short note, we prove the uniqueness of exterior differentiation on locally finite graphs.
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…