9 citations · 22 across the 18 of their papers we have counts for
18 papers
Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity
Xiaoxiang Chai, Yimin Chen, Juncheol Pyo
We define a mass invariant adapted to the spectral scalar curvature for asymptotically hyperbolic 3-manifolds with toroidal infinity and show its positivity under a lower bound on…
Free boundary minimal annuli in
Pak Tung Ho, Juncheol Pyo, Keomkyo Seo
Let be a compact 3-dimensional Riemannian manifold with nonnegative Ricci curvature and a nonempty boundary . Fraser and Li \cite{Fraser&Li} established a compactne…
Calderón-Zygmund estimates for nonlinear equations of differential forms with BMO coefficients
Mikyoung Lee, Jihoon Ok, Juncheol Pyo
We obtain -regularity estimates for weak solutions to -Laplacian type equations of differential forms. In particular, we prove local Calderón-Zygmund type estimates for equ…
Spectral constant rigidity of warped product metrics
Xiaoxiang Chai, Juncheol Pyo, Xueyuan Wan
A theorem of Llarull says that if a smooth metric on the -sphere is bounded below by the standard round metric and the scalar curvature of is bounde…
Rigidity results for mean curvature flow graphical translators moving in non-graphical direction
John Man Shun Ma, Yuan Shyong Ooi, Juncheol Pyo
In this paper, we study the rigidity results of complete graphical translating hypersurfaces when the translating direction is not in the graphical direction. We proved that any en…
Some rigidity results on compact hypersurfaces with capillary boundary in Hyperbolic space
Yimin Chen, Juncheol Pyo
In this paper, we prove a Heintze-Karcher type inequality for capillary hypersurfaces supported on various hypersurfaces in the hyperbolic space. The equality case only occurs on c…