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Local higher integrability of the gradient of a quasiminimizer under generalized Orlicz growth conditions |
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| Author: | Harjulehto, Petteri1; Hästö, Peter1,2; Karppinen, Arttu1 |
| Organizations: |
1Department of Mathematics and Statistics, FI-20014 University of Turku, Finland 2Department of Mathematics, FI-90014 University of Oulu, Finland |
| Format: | article |
| Version: | accepted version |
| Access: | open |
| Online Access: | PDF Full Text (PDF, 0.3 MB) |
| Persistent link: | http://urn.fi/urn:nbn:fi-fe2019052316724 |
| Language: | English |
| Published: |
Elsevier,
2018
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| Publish Date: | 2020-12-31 |
| Description: |
AbstractWe study local quasiminimizers of the Dirichlet energy under generalized growth conditions. Special cases include standard, variable exponent and double phase growths. We show that the gradient of a local quasiminimizer has local higher integrability. see all
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| Series: |
Nonlinear analysis |
| ISSN: | 0362-546X |
| ISSN-E: | 1873-5215 |
| ISSN-L: | 0362-546X |
| Volume: | 177 |
| Issue: | B |
| Pages: | 543 - 552 |
| DOI: | 10.1016/j.na.2017.09.010 |
| OADOI: | https://oadoi.org/10.1016/j.na.2017.09.010 |
| Type of Publication: |
A1 Journal article – refereed |
| Field of Science: |
111 Mathematics |
| Subjects: | |
| Funding: |
This research was partially supported by the Magnus Ehrnrooth Foundation. |
| Copyright information: |
© 2017 Elsevier Ltd. All rights reserved. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/. |
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https://creativecommons.org/licenses/by-nc-nd/4.0/ |