C1,α-solutions to non-autonomous anisotropic variational problems

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Non-autonomous functionals, borderline cases and related function classes (2016, background): “They have been the object of an intensive investigation during the last years, see for instance [8, 9, 11, 12, 13, 34, 43, 44, 54, 55].”
Regularity for general functionals with double phase (2017, background): “These functionals have been the object of intensive investigation over the last years, starting with the seminal papers of Marcellini [43, 44, 45]; see for instance [9, 11, 15, 26, 55, 57, 58].”
Regularity for Double Phase Problems at Nearly Linear Growth (2023, methodology): “On the other hand, the techniques based on De Giorgi and Moser’s methods used in the literature to deal with nearly linear growth functionals [12,14,32,33] are not viable here.”