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Journal of the Nigerian Association of Mathematical Physics

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Harmonic Function of Poincare Cone Condition In Solving Dirichlet Problem

MT Raji, CA Adejumobi, SA Ajibola

Abstract


This paper describes the set of harmonic functions on a given open set U which can be seen as the kernel of the Laplace operator and is therefore a vector space over R .It also reviews the harmonic theorem, the dirichlet problem and maximum principle where we conclude that the application of sums , differences and scalar multiples of harmonic functions are again harmonic.

Keywords: Harmonic, maximum principles, Vector space, Poincare cone, Holder condition.




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