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.
Cupini G., Marcellini P., Mascolo E., Passarelli Di Napoli A. (2023). Lipschitz regularity for degenerate elliptic integrals with p, q-growth. ADVANCES IN CALCULUS OF VARIATIONS, 16(2), 443-465 [10.1515/acv-2020-0120].
Lipschitz regularity for degenerate elliptic integrals with p, q-growth
Cupini G.;
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 -variable.File in questo prodotto:
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