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math.DG2020
Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds
Mattia Fogagnolo, Lorenzo Mazzieri
The notion of strictly outward minimising hull is investigated for open sets of finite perimeter sitting inside a complete noncompact Riemannian manifold. Under natural geometric a…
math.AP2020
Strict starshapedness of solutions to the horizontal p-laplacian in the Heisenberg group
Mattia Fogagnolo, Andrea Pinamonti
We examine the geometry of the level sets of particular horizontally -harmonic functions in the Heisenberg group. We find sharp, natural geometric conditions ensuring that the l…