# Existence and almost everywhere regularity of isoperimetric clusters for fractional perimeters

@article{Colombo2016ExistenceAA, title={Existence and almost everywhere regularity of isoperimetric clusters for fractional perimeters}, author={Maria Colombo and Francesco Maggi}, journal={arXiv: Optimization and Control}, year={2016} }

## 5 Citations

### A P ] 8 O ct 2 01 9 NONLOCAL MINIMAL CLUSTERS IN THE PLANE

- Mathematics
- 2019

We show existence of nonlocal minimal cluster with Dirichlet boundary data. In two dimensions we show that, if the fractional parameter s is sufficiently close to 1, the only singular minimal cone…

### On clusters and the multi-isoperimetric profile in Riemannian manifolds with bounded geometry

- Mathematics
- 2020

For a complete Riemannian manifold with bounded geometry, we prove the existence of isoperimetric clusters and also the compactness theorem for sequence of clusters in a larger space obtained by…

### Capillarity problems with nonlocal surface tension energies

- Mathematics
- 2016

ABSTRACT We explore the possibility of modifying the classical Gauss free energy functional used in capillarity theory by considering surface tension energies of nonlocal type. The corresponding…

### On Clusters and the Multi-isoperimetric Profile in Riemannian Manifolds with Bounded Geometry

- MathematicsJournal of Dynamical and Control Systems
- 2022

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