Geodesic
Some remarks on the regularity of minimizers of integrals with anisotropic growth
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 4, pp. 597-611.

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We prove higher integrability for minimizers of some integrals of the calculus of variations; such an improved integrability allows us to get existence of weak second derivatives.
Classification : 35J35, 35J60, 49N60
Keywords: regularity; minimizers; integral functionals; anisotropic growth 
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     title = {Some remarks on the regularity of minimizers of integrals  with anisotropic growth},
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Bhattacharya, Tilak; Leonetti, Francesco. Some remarks on the regularity of minimizers of integrals  with anisotropic growth. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 4, pp. 597-611. http://geodesic.mathdoc.fr/item/CMUC_1993__34_4_a0/