Journal article
On coercive variational integrals
- Abstract:
-
It is well-known that sequential weak lower semicontinuity of a variational integral
π±(u, β¦) = β«β¦ F (βu(x)) dx
on the Sobolev space W^1,p (β¦, β^N) under a p-growth condition on the integrand F is equivalent to quasiconvexity in the sense of Morrey. We show that coercivity on Dirichlet classes likewise is equivalent to a quasiconvexity condition. We also discuss more general notions of coercivity, and in the case of positively p-homogeneous integrands F we establish the existe...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted manuscript
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(pdf, 155.6KB)
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- Publisher copy:
- 10.1016/j.na.2016.09.011
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Authors
Bibliographic Details
- Publisher:
- Elsevier Publisher's website
- Journal:
- Nonlinear Analysis Theory Methods and Applications Journal website
- Volume:
- 153
- Pages:
- 213β229
- Publication date:
- 2016-10-05
- Acceptance date:
- 2016-09-16
- DOI:
- ISSN:
-
0362-546X
- Pubs id:
-
pubs:656463
- URN:
-
uri:fcfa67ba-95bd-46fa-9341-ea623611420b
- UUID:
-
uuid:fcfa67ba-95bd-46fa-9341-ea623611420b
- Local pid:
- pubs:656463
Terms of use
- Copyright holder:
- Elsevier Ltd
- Copyright date:
- 2016
- Notes:
- Β© 2016 Elsevier Ltd. All rights reserved
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