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math.DG2024
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{…
math.DG2024
Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces
Nick Edelen, Paul Minter
We establish uniqueness and regularity results for tangent cones (at a point or at infinity) with isolated singularities arising from a given immersed stable minimal hypersurface w…
math.DG2024
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…