Journal article
A trace preserving operator and applications
- Abstract:
- We construct a trace preserving operator which improves the integrability of functions in Sobolev classes refining the ones available in literature. As applications, we prove a C1,α partial regularity result for local minimizers of quasiconvex integral functionals satisfying non standard (p, q) growth conditions in the borderline case p=n−1 and q=n, and a global integrability result for weak solutions to a nonlinear elliptic system.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 147.2KB, Terms of use)
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- Publisher copy:
- 10.1016/j.jmaa.2020.124170
Authors
- Publisher:
- Elsevier
- Journal:
- Journal of Mathematical Analysis and Applications More from this journal
- Volume:
- 501
- Issue:
- 2
- Article number:
- 124170
- Publication date:
- 2020-05-05
- Acceptance date:
- 2020-04-17
- DOI:
- ISSN:
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0022-247X
- Language:
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English
- Keywords:
- Pubs id:
-
1103816
- Local pid:
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pubs:1103816
- Deposit date:
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2020-05-10
- ARK identifier:
Terms of use
- Copyright holder:
- Elsevier
- Copyright date:
- 2020
- Rights statement:
- © 2020 Published by Elsevier
- Notes:
- This is the accepted manuscript version of the article. The final version is available from Elsevier at: https://doi.org/10.1016/j.jmaa.2020.124170
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