Calculus of Variations and Geometric Measure Theory

G. Cupini - F. Giannetti - R. Giova - A. Passarelli di Napoli

Regularity results for vectorial minimizers of a class of degenerate convex integrals

created by passarell on 30 Nov 2017


Submitted Paper

Inserted: 30 nov 2017
Last Updated: 30 nov 2017

Year: 2017


We establish the higher differentiability and the higher integrability for the gradient of vec- torial minimizers of integral functionals with (p,q)-growth conditions. We assume that the non- homogeneous densities are uniformly convex and have a radial structure, with respect to the gradient variable, only at infinity. The results are obtained under a possibly discontinuous dependence on the spatial variable of the integrand.