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The Kellogg property under generalized growth conditions

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  • Petteri Harjulehto
  • Jonne Juusti

Abstract

We study minimizers of the Dirichlet φ‐energy integral with generalized Orlicz growth. We prove the Kellogg property, the set of irregular points has zero capacity, and give characterizations of semiregular boundary points. The results are new ever for the special cases double phase and Orlicz growth.

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  • Petteri Harjulehto & Jonne Juusti, 2022. "The Kellogg property under generalized growth conditions," Mathematische Nachrichten, Wiley Blackwell, vol. 295(2), pages 345-362, February.
    • Handle: RePEc:bla:mathna:v:295:y:2022:i:2:p:345-362
    DOI: 10.1002/mana.201900521
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