For first-order linear elliptic operators A with the rank-one property, distributions with bounded A-variation on Lipschitz domains belong to BV^A.
Slicing and fine properties for functions with boundedA-variation
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A regularity result for $BV^{\mathcal{A}}(\Omega)$
For first-order linear elliptic operators A with the rank-one property, distributions with bounded A-variation on Lipschitz domains belong to BV^A.