Journal article
Quantified Legendreness and the Regularity of Minima
- Abstract:
- We introduce a new quantification of nonuniform ellipticity in variational problems via convex duality, and prove higher differentiability and 2d-smoothness results for vector valued minimizers of possibly degenerate functionals. Our framework covers convex, anisotropic polynomials as prototypical model examples—in particular, we improve in an essentially optimal fashion Marcellini’s original results (Marcellini in Arch Rat Mech Anal 105:267–284, 1989).
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 805.9KB, Terms of use)
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- Publisher copy:
- 10.1007/s00205-024-02008-5
Authors
+ National Group for Mathematical Analysis, Probability and their Applications
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- Funder identifier:
- https://ror.org/02ktjph70
- Publisher:
- Springer
- Journal:
- Archive for Rational Mechanics and Analysis More from this journal
- Volume:
- 248
- Issue:
- 4
- Article number:
- 69
- Publication date:
- 2024-07-29
- Acceptance date:
- 2024-06-12
- DOI:
- EISSN:
-
1432-0673
- ISSN:
-
0003-9527
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