Harmonic Function of Poincare Cone Condition In Solving Dirichlet Problem

  • MT Raji
  • CA Adejumobi
  • SA Ajibola


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.

Journal of the Nigerian Association of Mathematical Physics, Volume 20 (March, 2012), pp 17 – 22

Author Biographies

MT Raji
Department of Mathematics, Technology, Saki Campus
CA Adejumobi
Department of Science Lab. Technology, Saki Campus
SA Ajibola
Department of Mathematics, Technology, Saki Campus

Journal Identifiers

eISSN: 1116-4336