Abstract
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.
Citation
Sonia Ben Othman. Habib Mâagli. Malek Zribi. "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
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