Electronic Journal of Differential Equations, Vol. 2023 (2023), No. 71, pp. 1-5. Title: G-convergence of elliptic operators in non divergence form in R^n Author: Luigi D'Onofrio (Univ. degli Studi di Napoli Parthenope, Italy) Abstract: The aim of this note is to prove a characterization of the G-limit of a sequence of elliptic operators in non-divergence form. As we consider any dimension, for this class of operators, it is not enough to deal with measurable and bounded coefficients so we need extra regularity assumptions on them. Submitted October 12, 2023. Published October 20, 2023. Math Subject Classifications: 35B40. Key Words: Elliptic operators; G-convergence.