On a Class of Semilinear Elliptic Systems and Applications in Polyharmonic Equations1

In this paper we study a class of semilinear differential equation systems. The boundedness of positive solutions of the systems has been shown under some general assumptions. We give some applications for the systems; in particular, with these results, we prove that any positive solution of some polyharmonic equations involving critical exponents is also a poly-super-harmonic function