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.
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
Keywords: regularity; minimizers; integral functionals; anisotropic growth
@article{CMUC_1993_34_4_a0,
author = {Bhattacharya, Tilak and Leonetti, Francesco},
title = {Some remarks on the regularity of minimizers of integrals with anisotropic growth},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {597--611},
year = {1993},
volume = {34},
number = {4},
mrnumber = {1263791},
zbl = {0794.49034},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1993_34_4_a0/}
}
TY - JOUR AU - Bhattacharya, Tilak AU - Leonetti, Francesco TI - Some remarks on the regularity of minimizers of integrals with anisotropic growth JO - Commentationes Mathematicae Universitatis Carolinae PY - 1993 SP - 597 EP - 611 VL - 34 IS - 4 UR - http://geodesic.mathdoc.fr/item/CMUC_1993_34_4_a0/ LA - en ID - CMUC_1993_34_4_a0 ER -
%0 Journal Article %A Bhattacharya, Tilak %A Leonetti, Francesco %T Some remarks on the regularity of minimizers of integrals with anisotropic growth %J Commentationes Mathematicae Universitatis Carolinae %D 1993 %P 597-611 %V 34 %N 4 %U http://geodesic.mathdoc.fr/item/CMUC_1993_34_4_a0/ %G en %F CMUC_1993_34_4_a0
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/