The Kellogg property under generalized growth conditions

Petteri Harjulehto and Jonne Juusti

Mathematische Nachrichten, 2022, vol. 295, issue 2, 345-362

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.

Date: 2022
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https://doi.org/10.1002/mana.201900521

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