On the regularity of minimizers for scalarintegral functionals with (p,q)-growth

Abstract

We revisit the question of regularity for minimizers of scalar autonomous integral functionals with so-called [math] -growth. In particular, we establish Lipschitz regularity under the condition [math] for [math] , improving a classical result due to Marcellini (J. Differential Equations 90:1 (1991), 1–30).

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