A1 Refereed original research article in a scientific journal

Extension in generalized Orlicz-Sobolev spaces



Authors: Juusti Jonne

Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE

Publication year: 2023

Journal: Journal of Mathematical Analysis and Applications

Journal name in source: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Journal acronym: J MATH ANAL APPL

Article number:  126941

Volume: 522

Issue: 1

Number of pages: 12

ISSN: 0022-247X

DOI: https://doi.org/10.1016/j.jmaa.2022.126941

Web address : https://doi.org/10.1016/j.jmaa.2022.126941

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/178739190


Abstract

We study the existence of an extension operator Lambda: W1,phi(S2) -> W1,psi(Rn). We assume that cp is an element of Phi w(S2) has generalized Orlicz growth, 0 is an element of Phi w(Rn) is an extension of cp, and that S2 subset of Rn is an (e, 5)-domain. Special cases include the classical constant exponent case, the Orlicz case, the variable exponent case, and the double phase case.

(c) 2022 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).


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Last updated on 2024-26-11 at 19:30