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arXiv · 1911.13007

The Kellogg property under generalized growth conditions

Petteri Harjulehto·Jonne Juusti
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Abstract

We study minimizers of the Dirichlet phi-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. 2019-11-29. The Kellogg property under generalized growth conditions. https://arxiv.org/abs/1911.13007

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