Jacobians of BV homeomorphisms and their weak-* limits

Jakub Petr

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arXiv · 2609.11502

Jacobians of BV homeomorphisms and their weak-* limits

Jakub Petr

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Abstract

We prove that in $\mathbb{R}^3$ any $BV$ homeomorphism as well as the weak-* limit of $BV$ homeomorphisms cannot change the sign of the Jacobian, i.e., we have $J_f \geq 0$ almost everywhere or $J_f \leq 0$ almost everywhere.

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Jakub Petr. 2026-09-10. Jacobians of BV homeomorphisms and their weak-* limits. https://arxiv.org/abs/2609.11502

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