Michele Caselli

activity

20192026

most citedRegularity results for solutions to obstacle problems with Sobolev coeffcients

16 citations · 35 across the 7 of their papers we have counts for

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Showing 2023 · math.DGShow all

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math.DG2023

Asymptotics as $s \to 0^{+}$ of the fractional perimeter on Riemannian manifolds

Michele Caselli, Luca Gennaioli

In this work we study the asymptotics of the fractional Laplacian as $s \to 0^{+}$ on any complete Riemannian manifold $(M, g)$ , both of finite and infinite volume. Surprisingly enough…

math.DG2023

Yau's conjecture for nonlocal minimal surfaces

Michele Caselli, Enric Florit-Simon, Joaquim Serra

We introduce nonlocal minimal surfaces on closed manifolds and establish a far-reaching Yau-type result: in every closed, $n$ -dimensional Riemannian manifold we construct infinitel…

Asymptotics as s→0+ of the fractional perimeter on Riemannian manifolds

Yau's conjecture for nonlocal minimal surfaces

Asymptotics as $s \to 0^{+}$ of the fractional perimeter on Riemannian manifolds