32 citations · 126 across the 14 of their papers we have counts for
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On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth
Gioacchino Antonelli, Elia Bruè, Mattia Fogagnolo +1
In this paper we provide new existence results for isoperimetric sets of large volume in Riemannian manifolds with nonnegative Ricci curvature and Euclidean volume growth. We find…
Isoperimetric sets in spaces with lower bounds on the Ricci curvature
Gioacchino Antonelli, Enrico Pasqualetto, Marco Pozzetta
In this paper we study regularity and topological properties of volume constrained minimizers of quasi-perimeters in spaces where the reference measure is the Hausdorff m…
The isoperimetric problem on Riemannian manifolds via Gromov-Hausdorff asymptotic analysis
Gioacchino Antonelli, Mattia Fogagnolo, Marco Pozzetta
In this paper we prove the existence of isoperimetric regions of any volume in Riemannian manifolds with Ricci bounded below assuming Gromov--Hausdorff asymptoticity to the suitabl…