Existence and almost everywhere regularity of isoperimetric clusters for fractional perimeters

2016/05/18 by Colombo, Maria, Maggi, Francesco · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1605.05641

Abstract

The existence of minimizers in the fractional isoperimetric problem with multiple volume constraints is proved, together with a partial regularity result.

Cited by

• Gamma-convergence of nonlocal energies for partitions
• Weighted nonlocal area functionals without the triangle inequality

Related

• Isoperimetric planar clusters with infinitely many regions
• Non-Local Isoperimetric Problems
• The standard lens cluster in R² uniquely minimizes relative perimeter
• A fractional isoperimetric problem in the Wiener space
• Isoperimetric problems for a nonlocal perimeter of Minkowski type