Regularity results for Hölder minimizers to functionals with non‐standard growth.

We study the regularity properties of Hölder continuous minimizers to non‐autonomous functionals satisfying (p,q)$(p,q)$‐growth conditions, under Besov assumptions on the coefficients. In particular, we are able to prove higher integrability and higher differentiability results for solutions to our minimum problem. [ABSTRACT FROM AUTHOR]