We establish the higher differentiability and the higher integrability for the gradient of vectorial 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.
Regularity results for vectorial minimizers of a class of degenerate convex integrals
Giova, Raffaella;
2018-01-01
Abstract
We establish the higher differentiability and the higher integrability for the gradient of vectorial 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.File in questo prodotto:
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