The Kellogg property under generalized growth conditions



: Harjulehto Petteri, Juusti Jonne

Publisher: WILEY-V C H VERLAG GMBH

: 2022

: Mathematical News / Mathematische Nachrichten

: MATHEMATISCHE NACHRICHTEN

: MATH NACHR

: 295

: 2

: 345

: 362

: 18

: 0025-584X

: 1522-2616

DOI: https://doi.org/10.1002/mana.201900521

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

: 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.

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