Journal article
Higher integrability for constrained minimizers of integral functionals with (p, q)-growth in low dimension
- Abstract:
- We prove higher summability for the gradient of minimizers of strongly convex integral functionals of the Calculus of Variations ˆ Ω f(x, Du(x)) dx, u : Ω ⊂ R n → S N−1 , with growth conditions of (p, q)-type: |ξ| p ≤ f(x, ξ) ≤ C(|ξ| q + 1), p < q, in low dimension. Our procedure is set in the framework of Fractional Sobolev Spaces and renders the desired regularity as the result of an approximation technique relying on estimates obtained through a careful use of difference quotients.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Accepted manuscript, pdf, 308.5KB)
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- Publisher copy:
- 10.1016/j.na.2017.12.007
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Authors
Bibliographic Details
- Publisher:
- Elsevier Publisher's website
- Journal:
- Nonlinear Analysis Journal website
- Volume:
- 170
- Pages:
- 1-20
- Publication date:
- 2018-01-30
- Acceptance date:
- 2017-12-11
- DOI:
- ISSN:
-
0362-546X
- Source identifiers:
-
1005190
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:1005190
- UUID:
-
uuid:368246ff-63f0-434e-bc3c-bae64ec3686c
- Local pid:
- pubs:1005190
- Deposit date:
- 2019-06-03
Terms of use
- Copyright holder:
- Elsevier Ltd
- Copyright date:
- 2018
- Notes:
- Copyright © 2017 Elsevier Ltd. This is the accepted manuscript version of the article. The final version is available online from Elsevier at: https://doi.org/10.1016/j.na.2017.12.007
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