A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä

Extension in generalized Orlicz-Sobolev spaces




TekijätJuusti Jonne

KustantajaACADEMIC PRESS INC ELSEVIER SCIENCE

Julkaisuvuosi2023

JournalJournal of Mathematical Analysis and Applications

Tietokannassa oleva lehden nimiJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Lehden akronyymiJ MATH ANAL APPL

Artikkelin numero 126941

Vuosikerta522

Numero1

Sivujen määrä12

ISSN0022-247X

DOIhttps://doi.org/10.1016/j.jmaa.2022.126941

Verkko-osoitehttps://doi.org/10.1016/j.jmaa.2022.126941

Rinnakkaistallenteen osoitehttps://research.utu.fi/converis/portal/detail/Publication/178739190


Tiivistelmä

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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