PreprintarXiv licencearXiv
Sharp comparison between the perimeter and its fractional analogue in two dimensions
Abstract
We show that the fractional perimeter of any order 0<s<1 is maximal, among all planar sets of fixed perimeter, for the disk.
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BibTeX
@misc{frank2026sharp,
title = {{Sharp comparison between the perimeter and its fractional analogue in two dimensions}},
author = {Rupert L. Frank and Paata Ivanisvili},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.14513},
eprint = {2609.14513},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.14513},
}
RIS
TY - UNPB
TI - Sharp comparison between the perimeter and its fractional analogue in two dimensions
AU - Rupert L. Frank
AU - Paata Ivanisvili
PY - 2026
DA - 2026/09/20
PB - arXiv
DO - 10.48550/arxiv.2609.14513
UR - https://arxiv.org/abs/2609.14513
AB - We show that the fractional perimeter of any order 0<s<1 is maximal, among all planar sets of fixed perimeter, for the disk.
ER -