A1 Refereed original research article in a scientific journal

Bloch estimates in non-doubling generalized Orlicz spaces



Authors: Harjulehto Petteri, Hästö Peter, Juusti Jonne

Publisher: AMER INST MATHEMATICAL SCIENCES-AIMS

Publication year: 2023

Journal: Mathematics in Engineering

Journal name in source: MATHEMATICS IN ENGINEERING

Journal acronym: MATH ENG-US

Volume: 5

Issue: 3

First page : 1

Last page: 21

Number of pages: 21

DOI: https://doi.org/10.3934/mine.2023052(external)

Web address : https://doi.org/10.3934/mine.2023052(external)

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/178643635(external)


Abstract
We study minimizers of non-autonomous functionalsinf u circumflex accent cc(x, |Vu|) dx Omega when cc has generalized Orlicz growth. We consider the case where the upper growth rate of cc is unbounded and prove the Harnack inequality for minimizers. Our technique is based on "truncating" the function cc to approximate the minimizer and Harnack estimates with uniform constants via a Bloch estimate for the approximating minimizers.

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Last updated on 2024-26-11 at 20:51