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 / Stefano Biagi, Giovanni Cupini, Elvira Mascolo. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - Volume 485, Issue 2:(2020), pp. 1-20. [10.1016/j.jmaa.2019.123838]
Regularity of quasi-minimizers for non-uniformly elliptic integrals
Giovanni Cupini;Elvira Mascolo
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:
Non ci sono file associati a questo prodotto.
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
