For a finite set A⊆ R n, consider a function u∈BVloc2(Rn) such that ∇ u∈ A almost everywhere. If A is convex independent, then it follows that u is piecewise affine away from a closed, countably H n...
Consider a function u ∈ BV 2 loc(R 2 such that ∇u takes values in a fixed set of three vectors almost everywhere. This condition implies that u is piecewise affine away from a closed set of...
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