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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Articles

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eISSN: 1116-4336