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Higher differentiability of minimizers of convex variationa..:

Carozza, Menita ; Kristensen, Jan ; Passarelli di Napoli, Antonia
Annales de l'Institut Henri Poincaré C, Analyse non linéaire.  28 (2011)  3 - p. 395-411 , 2011
Link: https://doi.org/10.1016/j.anihpc.2011.02.005