Abstract
We present existence results for the polyharmonic nonlinear elliptic boundary-value problem
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(in the sense of distributions), where B is the unit ball in R-n and n >= 2. The nonlinearity f(x, t) satisfies appropriate conditions related to a Kato class of functions K-m,K-n. Our approach is based on estimates for the polyharmonic Green function with zero Dirichlet boundary conditions and on the Schauder fixed point theorem.