We establish the local Lipschitz continuity and the higher differentiability of vector-valued local minimizers of a class of energy integrals of the Calculus of Variations. The main novelty is that we deal with possibly degenerate energy densities with respect to the x-variable
Lipschitz regularity for degenerate elliptic integrals with p,q-growth / Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira; PASSARELLI DI NAPOLI, Antonia. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8266. - 16:2(2023), pp. 443-465. [10.1515/acv-2020-0120]
Lipschitz regularity for degenerate elliptic integrals with p,q-growth
Antonia Passarelli di Napoli
2023
Abstract
We establish the local Lipschitz continuity and the higher differentiability of vector-valued local minimizers of a class of energy integrals of the Calculus of Variations. The main novelty is that we deal with possibly degenerate energy densities with respect to the x-variableFile in questo prodotto:
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