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.

Regularity of quasi-minimizers for non-uniformly elliptic integrals

Cupini G.
;
2020

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/726216
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