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Journal of Convex Analysis 15 (2008), No. 1, 131--148
Copyright Heldermann Verlag 2008



A Regularity Result for Asymptotically Convex Problems with Lower Order Terms

Antonia Passarelli di Napoli
Dip. di Matematica "R. Caccioppoli", UniversitÓ di Napoli "Federico II", Via Cintia, 80126 Napoli, Italy
antonia.passarelli@unina.it

Anna Verde
Dip. di Matematica "R. Caccioppoli", UniversitÓ di Napoli "Federico II", Via Cintia, 80126 Napoli, Italy
anverde@unina.it



We establish a local Lipschitz regularity result for minimizers of variational integrals with lower order terms, under the assumption that the integrand becomes appropriately convex at infinity.

Keywords: Local minimizers, asymptotic behaviour, comparison method.

MSC: 35B65, 35J70

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