Boundary estimates for elliptic systems with L1–data

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The div-curl lemma trente ans après : an extension and an application to the G-convergence of unbounded monotone operators (2009, background): “Van Schaftingen [4], of a divergence free function in L1(Ω)N as the Laplacian of a function in W 1,N ′ (Ω) .”
Gradient theory for plasticity via homogenization of discrete dislocations (2008, methodology): “odulo an error depending actually on the mass of Curlβ. The result is a consequence of some estimates for elliptic systems with L1-data recently proved by Bourgain, Brezis and Van Schaftingen in [3], [5]. The precise statement is the following Theorem 9 (A Generalized Korn type inequality). There ex”
Embeddings for A-weakly differentiable functions on domains (2017, background): “ The novelty of Theorems 1.1 and 1.4 comes from the fact that, up to our knowledge, there are only a few examples of L1–estimates near the boundary that go in the direction of [57, Open Prob. 3] (cp. [16]). The result of Theorem 1.4 is sharp on the fractional (or Besov) scale, in the sense that the ”