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Hölder regularity of quasiminimizers under generalized growth conditions |
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| Author: | Harjulehto, Petteri1; Hästö, Peter1,2; Toivanen, Olli3 |
| Organizations: |
1Department of Mathematics and Statistics, University of Turku, Turku, Finland 2Department of Mathematics, University of Oulu, Oulu, Finland 3Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland |
| Format: | article |
| Version: | accepted version |
| Access: | open |
| Online Access: | PDF Full Text (PDF, 0.3 MB) |
| Persistent link: | http://urn.fi/urn:nbn:fi-fe2019032810312 |
| Language: | English |
| Published: |
Springer Nature,
2017
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| Publish Date: | 2019-03-28 |
| Description: |
AbstractWe prove Harnack’s inequality for local (quasi)minimizers in generalized Orlicz spaces without polynomial growth or coercivity conditions. As a consequence, we obtain the local Hölder continuity of local (quasi)minimizers. The results include as special cases standard, variable exponent and double phase growth. see all
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| Series: |
Calculus of variations and partial differential equations |
| ISSN: | 0944-2669 |
| ISSN-E: | 1432-0835 |
| ISSN-L: | 0944-2669 |
| Volume: | 56 |
| Issue: | 2 |
| Article number: | 22 |
| DOI: | 10.1007/s00526-017-1114-z |
| OADOI: | https://oadoi.org/10.1007/s00526-017-1114-z |
| Type of Publication: |
A1 Journal article – refereed |
| Field of Science: |
111 Mathematics |
| Subjects: | |
| Copyright information: |
© Springer-Verlag Berlin Heidelberg 2017. This is a post-peer-review, pre-copyedit version of an article published in Calculus of Variations and Partial Differential Equations. The final authenticated version is available online at: https://doi.org/10.1007/s00526-017-1114-z. |