18 citations · 66 across the 47 of their papers we have counts for
48 papers
A note on the equality case of Bray's conjecture
Xu-Qian Fan, Chengjie Yu
In this short note, we characterize the equality case of Bray's conjecture recently proved by Jiang-Li-Wang \cite{JLW}.
Some aspects of Cheng-Yau gradient estimates
Qixuan Hu, Chengjie Yu
In this note, we extend the rigidity of Cheng-Yau gradient estimate in \cite{HXY} to surfaces with lower Ricci curvature bound. Motivated by these sharp Cheng-Yau gradient estimate…
The rigidity and stability of gradient estimates
Qixuan Hu, Guoyi Xu, Chengjie Yu
In this note, we obtain the rigidity of the sharp Cheng-Yau gradient estimate for positive harmonic functions on surfaces with nonegative Gaussian curvature, the rigidity of the sh…
Minimal Steklov eigenvalues on combinatorial graphs
Chengjie Yu, Yingtao Yu
In this paper, we study extremal problems of Steklov eigenvalues on combinatorial graphs by extending Friedman's theory [Duke Math. J. 69 (1993), no. 3, 487--525] of nodal domains…
Monotonicity of Steklov eigenvalues on graphs and applications
Chengjie Yu, Yingtao Yu
In this paper, we obtain monotonicity of Steklov eigenvalues on graphs which as a special case on trees extends the results of He-Hua [Calc. Var. Partial Differential Equations 61…
Rigidity of the sharp Bezout estimate on nonnegatively curved Riemann surfaces
Chengjie Yu, Chuangyuan Zhang
In this short note, by using a general three circle theorem, we show the rigidity of the sharp Bezout estimate first found by Gang Liu on nonnegatively curved Riemann surface.