|
|
Boundary regularity under generalized growth conditions |
|---|---|
| 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
|
| 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
|
| 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. |