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.
Biagi S., Cupini G., Mascolo E. (2020). Regularity of quasi-minimizers for non-uniformly elliptic integrals. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 485(2), 1-34 [10.1016/j.jmaa.2019.123838].
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.File in questo prodotto:
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BCM-11-12-2019.pdf
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