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math.MG2022★ 13 cited
The Cheeger problem in abstract measure spaces
Valentina Franceschi, Andrea Pinamonti, Giorgio Saracco +1
We consider non-negative -finite measure spaces coupled with a proper functional that plays the role of a perimeter. We introduce the Cheeger problem in this framework and e…
math.MG2016★ 4 cited
CMC spheres in the Heisenberg group
Valentina Franceschi, Francescopaolo Montefalcone, Roberto Monti
We study a family of spheres with constant mean curvature (CMC) in the Riemannian Heisenberg group . These spheres are conjectured to be the isoperimetric sets of . We pr…