Abstract
We present existence result for the polyharmonic nonlinear problem
(-Delta)(pm)u = phi(., u) + psi(., u), in B
u > 0, in B
lim(vertical bar x vertical bar -> 1)(-Delta)(jm)u(x)/(1 - vertical bar x vertical bar)(m-1) = 0, 0 <= j <= p - 1,
in the sense of distributions. Here m, p are positive integers, B is the unit ball in Rn(n >= 2) and the nonlinearity is a sum of a singular and sublinear terms satisfying some appropriate conditions related to a polyharmonic Kato class of functions J(m,n)((p)).