English

Existence and almost everywhere regularity of isoperimetric clusters for fractional perimeters

Optimization and Control 2016-05-19 v1 Analysis of PDEs

Abstract

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

Keywords

Cite

@article{arxiv.1605.05641,
  title  = {Existence and almost everywhere regularity of isoperimetric clusters for fractional perimeters},
  author = {Maria Colombo and Francesco Maggi},
  journal= {arXiv preprint arXiv:1605.05641},
  year   = {2016}
}

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31 pages