Inserted: 4 jan 2021
Last Updated: 4 jan 2021
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.
Keywords: Nonstandard growth conditions, lipschitz continuity, $p,q$-growth, Degenerate ellipticity