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

Published 4 Jan 2021 in math.AP | (2101.01101v1)

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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