arXiv:2404.12053 Abstract | arXiv Analytics

arXiv:2404.12053 [math.AP]Abstract References Reviews Resources

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

Antonio Giuseppe Grimaldi, Erica Ipocoana

Published 2024-04-18Version 1

We study the regularity properties of H\"older 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.

Categories: math.AP

Keywords: hölder minimizers, non-standard growth, regularity results, higher differentiability results, minimum problem

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