Classification of Solutions to a Critically Nonlinear System of Elliptic Equations on Euclidean Half-Space

is considered, where R N + is the upper half of N -dimensional Euclidean space.Under suitable assumptions on the exponents a ij and b ij , a classification theorem for the positive C 2 (R N + ) ∩ C 1 (R N + )-solutions of this system is proven.