Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024796 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 18 Pages |
Abstract
We study the local regularity of vectorial minimizers of integral functionals with standard p-growth. We assume that the non-homogeneous densities are uniformly convex and have a radial structure, with respect to the gradient variable, only at infinity. Under a W1,n-Sobolev dependence on the spatial variable of the integrand, n being the space dimension, we show that the minimizers have the gradient locally in Lq for every q>p. As a consequence, they are locally α-Hölder continuous for every α<1.
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Authors
Giovanni Cupini, Flavia Giannetti, Raffaella Giova, Antonia Passarelli di Napoli,