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<inline-formula><tex-math id="M1">\begin{document}$G$\end{document}</tex-math></inline-formula>-convergence for non-divergence elliptic operators with VMO coefficients in <inline-formula><tex-math id="M2">\begin{document}$\mathbb R^3$\end{document}</tex-math></inline-formula>

<inline-formula><tex-math id="M1">\begin{document}$G$\end{document}</tex-math></inline-formula>-convergence for non-divergence elliptic operators with VMO coefficients in <inline-formula><tex-math id="M2">\begin{document}$\mathbb R^3$\end{document}</tex-math></inline-formula>

The aim of this paper is to prove a reverse Hölder inequality for nonnegative adjoint solutions for elliptic operator in non divergence form in $\mathbb R^3$. As an application we generalize a Theorem due to Sirazhudinov and Zhikov [24] and, under suitable assumptions, we characterize the $G$-limit of a sequence …