11 citations · 29 across the 22 of their papers we have counts for
4 papers · 2 filters
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…
Entire area-minimizing surfaces in of density two are quadratic or planar
Nick Edelen, Luis Atzin Franco Reyna, Paul Minter
We classify any entire area-minimizing surface with density at infinity as either planar, or the zero set of a quadratic holomorphic polynomial inside…
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…
Entire area-minimizing surfaces in R^4 are algebraic
Nick Edelen, Luis Atzin Franco Reyna, Paul Minter
We classify entire 2-dimensional area-minimizing or stable surfaces in R^4 with quadratic area growth as algebraic, cut out by a finite union of holomorphic polynomials whose colle…