Regularity under sharp anisotropic general growth conditions

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Regularity of minimizers under limit growth conditions (2017, unknown): “We also need the following result; see Proposition 1 in [9] for the proof.”
A variational approach to parabolic equations under general and p,q-growth conditions (2020, background): “For related recent references we quote [45] and Cupini–Giannetti–Giova– Passarelli [25], Carozza–Giannetti–Leonetti–Passarelli [18], Cupini–Marcellini–Mascolo [26,27], Harjulehto– Hästö–Toivanen [36], Hästö–”
Parabolic equations with p, q-growth (2013, unknown): “[3,5,6,11,14,18,22,23] and the references therein.”
Partial regularity of $p(x)$-harmonic maps (2011, background): “More recently Cupini, Marcellini and Mascolo, see [7], prove boundedness of minimizers of energy functionals, for instance of the anisotropic type C (u) = ∫”