Solvability of monotone systems of fully nonlinear elliptic PDE's

Abstract We study quasimonotone weakly coupled systems of uniformly elliptic equations of Isaac type. We prove results on existence of viscosity solutions of such systems and give a necessary and sufficient condition for such a system to satisfy the comparison principle. To cite this article: A. Quaas, B. Sirakov, C. R. Acad. Sci. Paris, Ser. I 346 (2008).