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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Bibliographic Details
Main Authors: Irene Benedetti, Elvira Mascolo
Format: Article
Language:English
Published: Hindawi Limited 2004-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337504310079