A1 Refereed original research article in a scientific journal

The Kellogg property under generalized growth conditions




AuthorsHarjulehto Petteri, Juusti Jonne

PublisherWILEY-V C H VERLAG GMBH

Publication year2022

JournalMathematical News / Mathematische Nachrichten

Journal name in sourceMATHEMATISCHE NACHRICHTEN

Journal acronymMATH NACHR

Volume295

Issue2

First page 345

Last page362

Number of pages18

ISSN0025-584X

eISSN1522-2616

DOIhttps://doi.org/10.1002/mana.201900521

Web address https://onlinelibrary.wiley.com/doi/epdf/10.1002/mana.201900521

Self-archived copy’s web addresshttps://research.utu.fi/converis/portal/detail/Publication/174796714


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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Last updated on 2024-26-11 at 18:37