Lipschitz regularity for solutions of a general class of elliptic equations

We prove local Lipschitz regularity for local minimiser of $$W^{1,1}(\mathrm{\Omega })\ni v\mapsto {\int }_{\mathrm{\Omega }}F(Dv)dx$$ where $\mathrm{\Omega }\subseteq {\mathbb{R}}^N$, $N\ge 2$ and $F:{\mathbb{R}}^N\to \mathbb{R}$ is a quasiuniformly convex integrand in the sense of Kovalev and Maldonado, i.e. a convex $C^1$-function such that the ratio between the maximum and minimum eigenvalues of $D^{2}F$ is essentially bounded. This class of integrands inculdes the standard singular/degenerate functions $F(z)=\mathrm{\mid }z{\mathrm{\mid }}^p$ for any $p>1$ and arises naturally as the closure, with respect to a natural convergence, of the strongly elliptic integrands of the Calculus of Variations.