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arXiv · 2101.01101

Lipschitz regularity for degenerate elliptic integrals with p,q-growth

Giovanni Cupini·Paolo Marcellini·Elvira Mascolo·A. Passarelli di Napoli
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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.

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Giovanni Cupini, Paolo Marcellini, Elvira Mascolo, A. Passarelli di Napoli. 2021-01-04. Lipschitz regularity for degenerate elliptic integrals with p,q-growth. https://arxiv.org/abs/2101.01101

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