Electronic Journal of Differential Equations, Vol. 2007(2007), No. 38, pp. 1-12. Title: A new proof of Harnack's inequality for elliptic partial differential equations in divergence form Authors: Raquel Crescimbeni (Univ. Nacional del Comahue, Argentina) Liliana Forzani (Univ. Nacional del Litoral, Argentina) Alejandra Perini (Univ. Nacional del Comahue, Argentina) Abstract: In this paper we give a new proof of Harnack's inequality for elliptic operator in divergence form. We imitate the proof given by Caffarelli for operators in nondivergence form. Submitted January 9, 2006. Published March 1, 2007. Math Subject Classifications: 35B65, 35B45 Key Words: Elliptic equations; divergence form; weak solutions; Harnack inequality; Holder continuity.