Abstract
In this article, we study a class of nonlinear elliptic systems in regular domains of R-n(n >= 3) with compact boundary. More precisely, we prove the existence of bounded positive continuous solutions to the system Delta u = lambda f (., u, v), Delta v = mu g(.; u, v), subject to some Dirichlet conditions. Our approach is essentially based on properties of functions in a Kato class K-infinity(D) and the Schauder fixed point theorem.