We prove the local Lipschitz continuity for local minimizers of vectorial integrals with density energy, which depends on the space variable, satisfies p-q growth condition and it is not convex with respect to the gradient. In particular the radial structure condition and the uniform convexity with respect to the last variable, are assumed only at infinity. The arguments of the proof are new and based on some relaxation results for functionals with nonstandard growth.

Regularity for non convex functionals with p − q growth via relaxations methods / I. Benedetti; E. Mascolo. - In: ABSTRACT AND APPLIED ANALYSIS. - ISSN 1085-3375. - STAMPA. - 2004:(2004), pp. 27-44. [10.1155/S1085337504310079]

Regularity for non convex functionals with p − q growth via relaxations methods

MASCOLO, ELVIRA
2004

Abstract

We prove the local Lipschitz continuity for local minimizers of vectorial integrals with density energy, which depends on the space variable, satisfies p-q growth condition and it is not convex with respect to the gradient. In particular the radial structure condition and the uniform convexity with respect to the last variable, are assumed only at infinity. The arguments of the proof are new and based on some relaxation results for functionals with nonstandard growth.
2004
2004
27
44
I. Benedetti; E. Mascolo
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/337662
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