Existence and almost everywhere regularity of isoperimetric clusters for fractional perimeters
Abstract
The existence of minimizers in the fractional isoperimetric problem with multiple volume constraints is proved, together with a partial regularity result.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2016
- DOI:
- 10.48550/arXiv.1605.05641
- arXiv:
- arXiv:1605.05641
- Bibcode:
- 2016arXiv160505641C
- Keywords:
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- Mathematics - Optimization and Control;
- Mathematics - Analysis of PDEs
- E-Print:
- 31 pages