Convex variational problems

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Navier–Stokes Equations with Shear Thinning Viscosity. Regularity up to the Boundary (2009, background): “Concerning local regularity, or existence and local regularity for boundary value problems (including the space-periodic case) under the assumptions p < 2 and n ≥ 3, we refer the reader to [1], [2], [?] [11], [12], [15], [17], [18], [20], [25], [29] and references therein.”
Lipschitz Bounds and Nonautonomous Integrals (2020, background): “More recently, the study of the nonautonomous case has intensified; many papers have been devoted to study specific structures as well as genereal non-uniformly elliptic problems [3–6, 8–11, 13, 30, 32–34, 50, 51].”
Lower semicontinuity and relaxation of linear-growth integral functionals under PDE constraints (2017, background): “tions). Condition (1.6) is automatically fulﬁlled in the following cases: (i) For A =curl, the approximation property (for general domains) is proved in the appendix of [KR10a] (also see Lemma B.1 of [Bil03] for Lipschitz domains). The same argument further shows the area-strict approximation proper”