## Contributed Talk## On boundary value problems for p-Laplace and p-Dirac equationsZainab Al-YasiriBauhaus-Universitaet Weimar, Germany AbstractThe p-Laplace equation is a nonlinear generalization of the Laplace equation. This generalization is often used as a model problem for special types of nonlinearities. The p-Laplace equation can be seen as a bridge between very general nonlinear equations and the linear Laplace equation. The aim of this paper is to solve the p-Laplace equation for 2 < p < 3 and to find strong solutions. The idea is to apply a hypercomplex integral operator and spatial function theoretic methods to transform the p-Laplace equation into the p-Dirac equation. This equation will be solved iteratively by using a fixed point theorem. ISSN 1611 - 4086 | © IKM 2015 |