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

By Giovanni Cupini, Flavia Giannetti, Raffaella Giova, Antonia Passarelli di Napoli. Journal of Differential Equations, 2018

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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.

Subfields: Applied Mathematics, Computational Theory and Mathematics

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