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arXiv:1712.03252 [math.AP]AbstractReferencesReviewsResources

Higher Integrability for Constrained Minimizers of Integral Functionals with (p,q)-Growth in low dimension

Cristiana De Filippis

Published 2017-12-08Version 1

We prove higher summability for the gradient of minimizers of strongly convex integral functionals of the Calculus of Variations with (p,q)-Growth conditions in low dimension. Our procedure is set in the framework of Fractional Sobolev Spaces and renders the desired regularity as the result of an approximation technique relying on estimates obtained through a careful use of difference quotients.

Comments: 22 pages, 0 figures
Categories: math.AP
Subjects: 49N60, 49Q99
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