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- In Zusammenarbeit mit der Bauhaus-Universität Weimar (15)
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- Institut für Strukturmechanik (ISM) (4)
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Schlagworte
- Building Information Modeling (36) (entfernen)
Erscheinungsjahr
- 2015 (36) (entfernen)
The 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.