PreprintarXiv licencearXiv
The Singular Set of Minima of Multiple Integrals
Abstract
The Hausdorff dimension of the singular set of local minimizers of quasiconvex integrals is strictly less than the ambient dimension.
Related
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BibTeX
@misc{filippis2026singular,
title = {{The Singular Set of Minima of Multiple Integrals}},
author = {Cristiana De Filippis and Jan Kristensen and Giuseppe Mingione and Aidan Strong},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.11546},
eprint = {2609.11546},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.11546},
}
RIS
TY - UNPB
TI - The Singular Set of Minima of Multiple Integrals
AU - Cristiana De Filippis
AU - Jan Kristensen
AU - Giuseppe Mingione
AU - Aidan Strong
PY - 2026
DA - 2026/10/03
PB - arXiv
DO - 10.48550/arxiv.2609.11546
UR - https://arxiv.org/abs/2609.11546
AB - The Hausdorff dimension of the singular set of local minimizers of quasiconvex integrals is strictly less than the ambient dimension.
ER -