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.
@article{118619, author = {Tilak Bhattacharya and Francesco Leonetti}, title = {Some remarks on the regularity of minimizers of integrals with anisotropic growth}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {34}, year = {1993}, pages = {597-611}, zbl = {0794.49034}, mrnumber = {1263791}, language = {en}, url = {http://dml.mathdoc.fr/item/118619} }
Bhattacharya, Tilak; Leonetti, Francesco. Some remarks on the regularity of minimizers of integrals with anisotropic growth. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) pp. 597-611. http://gdmltest.u-ga.fr/item/118619/
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