Regularity of minimizers for nonconvex vectorial integrals with p-q growth via relaxation methods
Local Lipschitz continuity of local minimizers of vectorial integrals ∫Ω f(x,Du)dx is proved when f satisfies p-q growth condition and ξ↦f(x,ξ) is not convex. The uniform convexity and the radial structure condition with respect to the last variable are assumed only at infinity. In the proof, we use...
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Hindawi Limited
2004-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337504310079 |
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doaj-11038df621304957932eb7f0330e94ea2020-11-24T23:24:49ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092004-01-0120041274410.1155/S1085337504310079Regularity of minimizers for nonconvex vectorial integrals with p-q growth via relaxation methodsIrene Benedetti0Elvira Mascolo1Dipartimento di Matematica “Ulisse Dini”, Università di Firenze, Viale Morgagni 67/A, Firenze 50134, ItalyDipartimento di Matematica “Ulisse Dini”, Università di Firenze, Viale Morgagni 67/A, Firenze 50134, ItalyLocal Lipschitz continuity of local minimizers of vectorial integrals ∫Ω f(x,Du)dx is proved when f satisfies p-q growth condition and ξ↦f(x,ξ) is not convex. The uniform convexity and the radial structure condition with respect to the last variable are assumed only at infinity. In the proof, we use semicontinuity and relaxation results for functionals with nonstandard growth.http://dx.doi.org/10.1155/S1085337504310079 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Irene Benedetti Elvira Mascolo |
| spellingShingle |
Irene Benedetti Elvira Mascolo Regularity of minimizers for nonconvex vectorial integrals with p-q growth via relaxation methods Abstract and Applied Analysis |
| author_facet |
Irene Benedetti Elvira Mascolo |
| author_sort |
Irene Benedetti |
| title |
Regularity of minimizers for nonconvex vectorial integrals with
p-q growth via relaxation methods |
| title_short |
Regularity of minimizers for nonconvex vectorial integrals with
p-q growth via relaxation methods |
| title_full |
Regularity of minimizers for nonconvex vectorial integrals with
p-q growth via relaxation methods |
| title_fullStr |
Regularity of minimizers for nonconvex vectorial integrals with
p-q growth via relaxation methods |
| title_full_unstemmed |
Regularity of minimizers for nonconvex vectorial integrals with
p-q growth via relaxation methods |
| title_sort |
regularity of minimizers for nonconvex vectorial integrals with
p-q growth via relaxation methods |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2004-01-01 |
| description |
Local Lipschitz continuity of local minimizers of vectorial integrals ∫Ω f(x,Du)dx is proved when f satisfies p-q growth condition and ξ↦f(x,ξ) is not convex. The uniform convexity and the radial structure condition with respect to the last variable are assumed only at infinity. In the proof, we use semicontinuity and relaxation results for functionals with nonstandard growth. |
| url |
http://dx.doi.org/10.1155/S1085337504310079 |
| work_keys_str_mv |
AT irenebenedetti regularityofminimizersfornonconvexvectorialintegralswithpqgrowthviarelaxationmethods AT elviramascolo regularityofminimizersfornonconvexvectorialintegralswithpqgrowthviarelaxationmethods |
| _version_ |
1725558530662989824 |