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math.DG2025
Uniqueness in the Plateau problem near Quadratic cones
Vishnu Nandakumaran, Gábor Székelyhidi
We consider minimal hypersurfaces inside the unit ball whose boundary on the sphere is a small perturbation of the link of a minimizing quadratic cone. We show that such minimal su…
math.DG2024
Minimal surfaces near Hardt-Simon foliations
Vishnu Nandakumaran
Caffarelli-Hardt-Simon used the minimal surface equation on the Simons cone to generate newer examples of minimal hypersurfaces with isolated singularities. Hard…