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arXiv · 2508.10508

On $\mathrm{BV}^{\mathbb{A}}$-Minimisers in two Dimensions

Ferdinand Eitler·Peter Lewintan
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Abstract

We investigate into the regularity of $\mathrm{BV}^{\mathbb{A}}$-minimisers for $\mathbb{C}$-elliptic differential operators $\mathbb{A}$ in $2$ dimensions. Our studies strongly rely on the special structure of such differential operators. The gradient integrability is established for the sharp ellipticity range known from the (symmetric) gradient case.

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Ferdinand Eitler, Peter Lewintan. 2025-08-14. On $\mathrm{BV}^{\mathbb{A}}$-Minimisers in two Dimensions. https://arxiv.org/abs/2508.10508

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