Asymptotically Linear Elliptic Systems.

In this paper, we prove, under natural assumptions, that the semilinear elliptic system -Δu+u=g(x,v), x ∈ R^N, -Δv+v=f(x,u), x∈R^N (0.1) possesses at least one positive solution pair (u, v) ∈ H¹(R^N) × H¹(R^N), where f(x, t) and g(x, t) are continuous functions on R^N × R and asymptotically linear as t → + ∞. [ABSTRACT FROM AUTHOR]