Lipschitz regularity of minimizers of variational integrals with variable exponents

Michela Eleuteri, Antonia Passarelli di Napoli

In this paper we prove the Lipschitz regularity for local minimizers of convex variational integrals of the form \[ \mathfrak{F}( v, Ω)= \int_Ω \! F(x, Dv(x)) \, dx, \] where, for…