7 citations · 7 across the 6 of their papers we have counts for
6 papers · 1 filter
Sharp Neumann eigenvalue estimates and elliptic regularity in non-obtuse polyhedral domains
Nick Edelen, Chao Li
For integers , consider assertions: : Let be a spherical domain enclosed by totally geodesic 's with non-obtuse dihedral angles. The…
A Bernstein-type theorem for capillary graphs in a half-space
Nick Edelen, Chao Li, Jonathan J. Zhu
We show that any entire, capillary minimal graph in a half-space must be linear in low-dimensions or, more generally, when some tangent cone at infinity does not split off a vertic…
Immersions with small normal curvature
Otis Chodosh, Chao Li
We study Gromov's problem concerning minimal normal curvature immersions in the unit ball. In particular, we determine the minimal possible value of the normal curvature of an $S^n…
Regularity of minimal surfaces with capillary boundary conditions
Luigi De Masi, Nick Edelen, Carlo Gasparetto +1
We prove -regularity theorems for varifolds with capillary boundary condition in a Riemannian manifold. These varifolds were first introduced by Kagaya-Tonegawa \cite{…
Improved regularity for minimizing capillary hypersurfaces
Otis Chodosh, Nick Edelen, Chao Li
We give improved estimates for the size of the singular set of minimizing capillary hypersurfaces: the singular set is always of codimension at least , and this estimate improve…
Stable minimal hypersurfaces in
Otis Chodosh, Chao Li, Paul Minter +1
We show that a complete, two-sided, stable minimal hypersurface in is flat.