PreprintCC BY 4.0arXiv
Jacobians of BV homeomorphisms and their weak-* limits
Abstract
We prove that in ℝ3 any BV homeomorphism as well as the weak-* limit of BV homeomorphisms cannot change the sign of the Jacobian, i.e., we have Jf ≥ 0 almost everywhere or Jf ≤ 0 almost everywhere.
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BibTeX
@misc{petr2026jacobians,
title = {{Jacobians of BV homeomorphisms and their weak-* limits}},
author = {Jakub Petr},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.11502},
eprint = {2609.11502},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.11502},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Jacobians of BV homeomorphisms and their weak-* limits
AU - Jakub Petr
PY - 2026
DA - 2026/09/10
PB - arXiv
DO - 10.48550/arxiv.2609.11502
UR - https://arxiv.org/abs/2609.11502
AB - We prove that in ℝ^3 any BV homeomorphism as well as the weak-* limit of BV homeomorphisms cannot change the sign of the Jacobian, i.e., we have J_f ≥ 0 almost everywhere or J_f ≤ 0 almost everywhere.
ER -