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

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  • Antonio Giuseppe Grimaldi
  • Erica Ipocoana

Abstract

We study the regularity properties of Hölder continuous minimizers to non‐autonomous functionals satisfying (p,q)$(p,q)$‐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.

Suggested Citation

  • Antonio Giuseppe Grimaldi & Erica Ipocoana, 2024. "Regularity results for Hölder minimizers to functionals with non‐standard growth," Mathematische Nachrichten, Wiley Blackwell, vol. 297(8), pages 3143-3164, August.
    • Handle: RePEc:bla:mathna:v:297:y:2024:i:8:p:3143-3164
    DOI: 10.1002/mana.202300412
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