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math.DG2026
On Cylindrical singularities of minimal hypersurfaces
Aria Halavati, Luca Spolaor
In a neighborhood of the origin in , we construct a minimal hypersurface with respect to a smooth conformally Euclidean metric, whose singular set consists of the ori…
math.DG2026
Stationary varifolds with singularities II
Camillo De Lellis, Jonas Hirsch, Zachary Lihn +1
For every dimension , we show the existence of an open set , a smooth Riemannian metric on it, and an integral -dimensional stationary var…
math.AP2026
Fine structure of the two-phase Bernoulli free boundaries in 2D
Lorenzo Ferreri, Luca Spolaor, Bozhidar Velichkov
We prove that the branching set of a solution to a two-dimensional two-phase Bernoulli problem with constant coefficients is locally finite. We do this via a Weierstrass representa…