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

Cupini, Giovanni;
2018

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.
2018
Cupini, Giovanni; Giannetti, Flavia; Giova, Raffaella; Passarelli di Napoli, Antonia*
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/649631
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