Journal article
On the regularity of minima of non-autonomous functionals
- Abstract:
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We consider regularity issues for minima of non-autonomous functionals in the Calculus of Variations exhibiting non-uniform ellipticity features. We provide a few sharp regularity results for local minimizers that also cover the case of functionals with nearly linear growth. The analysis is carried out provided certain necessary approximation-in-energy conditions are satisfied. These are related to the occurrence of the so-called Lavrentiev phenomenon that non...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Accepted manuscript, pdf, 669.9KB)
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- Publisher copy:
- 10.1007/s12220-019-00225-z
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Authors
Bibliographic Details
- Publisher:
- Springer Publisher's website
- Journal:
- Journal of Geometric Analysis Journal website
- Volume:
- 30
- Pages:
- 1584-1626
- Publication date:
- 2019-07-08
- Acceptance date:
- 2019-06-09
- DOI:
- EISSN:
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1559-002X
- ISSN:
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1050-6926
- Source identifiers:
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1028738
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:1028738
- UUID:
-
uuid:b63a9101-5b13-46bb-804a-05e7f03d3fdd
- Local pid:
- pubs:1028738
- Deposit date:
- 2019-07-08
Terms of use
- Copyright holder:
- Mathematica Josephina, Inc.
- Copyright date:
- 2019
- Rights statement:
- © Mathematica Josephina, Inc. 2019
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Springer at: https://doi.org/10.1007/s12220-019-00225-z
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