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.
Cupini, G., Giannetti, F., Giova, R., Passarelli di Napoli, A. (2018). Regularity results for vectorial minimizers of a class of degenerate convex integrals. JOURNAL OF DIFFERENTIAL EQUATIONS, 265(9), 4375-4416 [10.1016/j.jde.2018.06.010].
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.| File | Dimensione | Formato | |
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