Journal article
Quasiconvex Functionals of ( p, q )-Growth and the Partial Regularity of Relaxed Minimizers
- Abstract:
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We establish C∞-partial regularity results for relaxed minimizers of strongly quasiconvex functionals F[u;Ω]:=∫ΩF(∇u)dx, u:Ω→RN, subject to a q-growth condition |F(z)|≦c(1+|z|q), z∈RN×n, and natural p-mean coercivity conditions on F∈C∞(RN×n) for the basically optimal exponent range 1≦p≦q
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
-
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(Preview, Version of record, pdf, 2.4MB, Terms of use)
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- Publisher copy:
- 10.1007/s00205-024-02013-8
Authors
- Publisher:
- Springer
- Journal:
- Archive for Rational Mechanics and Analysis More from this journal
- Volume:
- 248
- Issue:
- 5
- Article number:
- 80
- Publication date:
- 2024-09-09
- Acceptance date:
- 2024-07-17
- DOI:
- EISSN:
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1432-0673
- ISSN:
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0003-9527
- Language:
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English
- Source identifiers:
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2251265
- Deposit date:
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2024-09-10
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