Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth

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The Singular Set of ω-minima (2005, methodology): “7) (for a proof of this see for instance [5–7]).”
Partial Regularity for BV Minimizers (2018, methodology): “However, due to the L(1) set-up the usual ways of implementing this linearization (such as for instance [1, 2, 19, 28, 26, 45, 47]) do seem to require modification.”
Harmonic type approximation lemmas (2009, methodology): “Eventually the lemma was applied for proving partial regularity of solutions to elliptic systems in [25,22], and of minimizers of quasiconvex integrals in [23,26,27]; it everywhere yielded optimal regularity results, allowing to avoid the use of heavy tools such as Gehring’s lemma [50].”
Regularity of minima: An invitation to the dark side of the calculus of variations (2006, methodology): “1) are possible, and actually sharply done, while alternative proofs via the A-approximation method can be found in [92, 96].”