A1 Refereed original research article in a scientific journal
The Kellogg property under generalized growth conditions
Authors: Harjulehto Petteri, Juusti Jonne
Publisher: WILEY-V C H VERLAG GMBH
Publication year: 2022
Journal: Mathematical News / Mathematische Nachrichten
Journal name in source: MATHEMATISCHE NACHRICHTEN
Journal acronym: MATH NACHR
Volume: 295
Issue: 2
First page : 345
Last page: 362
Number of pages: 18
ISSN: 0025-584X
eISSN: 1522-2616
DOI: https://doi.org/10.1002/mana.201900521
Web address : https://onlinelibrary.wiley.com/doi/epdf/10.1002/mana.201900521
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/174796714
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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