Here we study the polyharmonic nonlinear elliptic boundary value problem on the unit ball in , in (in the sense of distributions) . Under appropriate conditions related to a Kato class on the nonlinearity , we give some existence results. Our approach is based on estimates for the polyharmonic Green function on with zero Dirichlet boundary conditions, including a 3G-theorem, which leeds to some useful properties on functions belonging to the Kato class.
"Existence Results for Polyharmonic Boundary Value Problems in the Unit Ball." Abstr. Appl. Anal. 2007 1 - 16, 2007. https://doi.org/10.1155/2007/56981