Year: 2025
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Eitler, Ferdinand, Lewintan, Peter
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6966869672
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