26 citations · 177 across the 51 of their papers we have counts for
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math.DG2016
Neumann Isoperimetric Constant Estimate for Convex Domains
Xianzhe Dai, Guofang Wei, Zhenlei Zhang
We present a new and direct proof of the local Neumann isoperimetric inequality on convex domains of a Riemannian manifold with Ricci curvature bounded below.
math.DG2016★ 4 cited
Sharp Fundamental Gap Estimate on Convex Domains of Sphere
Shoo Seto, Lili Wang, Guofang Wei
In their celebrated work, B. Andrews and J. Clutterbuck proved the fundamental gap (the difference between the first two eigenvalues) conjecture for convex domains in the Euclidean…
math.DG2016★ 6 cited
Local Sobolev Constant Estimate for Integral Ricci Curvature Bounds
Xianzhe Dai, Guofang Wei, Zhenlei Zhang
We obtain a local Sobolev constant estimate for integral Ricci curvature, which enables us to extend several important tools such as the maximal principle, the gradient estimate, t…