Full C1,α-regularity for free and constrained local minimizers of elliptic variational integrals¶with nearly linear growth

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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.”
Nonlinear elliptic systems with general growth (2006, unknown): “In [8] Fuchs-Mingione concentrate on the 4”
Regularity of minima: An invitation to the dark side of the calculus of variations (2006, background): “13) has been obtained by Fuchs & myself in [136].”
Everywhere regularity of functionals with φ-growth (2009, methodology): “To this aim, we make suitable assumptions on the function ϕ in order to ensure the continuity of the second derivatives of ϕ. In particular, the case of slow growth [ 13 ] and fast growth are ruled out.”