Boundary regularity under generalized growth conditions |
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Author: | Harjulehto, Petteri1; Hästö, Peter1,2 |
Organizations: |
1University of Turku, Finland 2University of Oulu, Finland |
Format: | article |
Version: | accepted version |
Access: | open |
Online Access: | PDF Full Text (PDF, 0.5 MB) |
Persistent link: | http://urn.fi/urn:nbn:fi-fe2019040110644 |
Language: | English |
Published: |
European Mathematical Society Publishing House,
2019
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Publish Date: | 2019-04-01 |
Description: |
AbstractWe study the Dirichlet ϕ-energy integral with Sobolev boundary values. The function ϕ has generalized Orlicz growth. Special cases include variable exponent and double phase growths. We show that minimizers are regular at the boundary provided a weak capacity fatness condition is satisfied. This condition is satisfied for instance if the boundary is Lipschitz. The results are new even for Orlicz spaces. see all
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Series: |
Zeitschrift für Analysis und ihre Anwendungen |
ISSN: | 0232-2064 |
ISSN-E: | 1661-4534 |
ISSN-L: | 0232-2064 |
Volume: | 38 |
Issue: | 1 |
Pages: | 73 - 96 |
DOI: | 10.4171/ZAA/1628 |
OADOI: | https://oadoi.org/10.4171/ZAA/1628 |
Type of Publication: |
A1 Journal article – refereed |
Field of Science: |
111 Mathematics |
Subjects: | |
Copyright information: |
© 2019 EMS Publishing House. All rights reserved. |