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arXiv · 1712.03252

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

Cristiana De Filippis
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Abstract

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.

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Cristiana De Filippis. 2017-12-08. Higher Integrability for Constrained Minimizers of Integral Functionals with (p,q)-Growth in low dimension. https://arxiv.org/abs/1712.03252

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