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arXiv · 2404.12053

Regularity results for Hölder minimizers to functionals with non-standard growth

Antonio Giuseppe Grimaldi·Erica Ipocoana
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Abstract

We study the regularity properties of Hölder continuous minimizers to non-autonomous functionals satisfying $(p,q)$-growth conditions, under Besov assumptions on the coefficients. In particular, we are able to prove higher integrability and higher differentiability results for solutions to our minimum problem.

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Antonio Giuseppe Grimaldi, Erica Ipocoana. 2024-04-18. Regularity results for Hölder minimizers to functionals with non-standard growth. https://arxiv.org/abs/2404.12053

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