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Lipschitz regularity for degenerate elliptic integrals with ????, ????-growth

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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… Click to show full abstract

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 ????-variable.

Keywords: integrals growth; lipschitz regularity; elliptic integrals; degenerate elliptic; regularity degenerate

Journal Title: Advances in Calculus of Variations
Year Published: 2021

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