Abstract
We study the existence of continuous positive solutions of the m-polyharmonic nonlinear elliptic system
(-Delta)(m)u + lambda p(x) g(v) = 0,
(-Delta)(m)v + mu q(x) f(u) = 0
in the complement of the unit closed ball in R-n (n > 2m and m >= 1). Here the constants lambda, mu are nonnegative, the functions f, g are nonnegative, continuous and monotone. We prove two existence results for the above system subject to some boundary conditions, where the nonnegative functions p, q satisfy some appropriate conditions related to a Kato class of functions.