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Regularity of quasi-minimizers for non-uniformly elliptic integrals

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Abstract In this paper we consider a class of non-uniformly elliptic integral functionals and we prove the local boundedness of the quasi-minimizers. Our approach is based on a suitable adaptation… Click to show full abstract

Abstract In this paper we consider a class of non-uniformly elliptic integral functionals and we prove the local boundedness of the quasi-minimizers. Our approach is based on a suitable adaptation of the celebrated De Giorgi proof, and it relies on an appropriate Caccioppoli-type inequality.

Keywords: minimizers non; elliptic integrals; regularity quasi; uniformly elliptic; non uniformly; quasi minimizers

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020

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