Isolated Singularities of Positive Harmonic Functions in Bounded Domains

الملخص

The singularity of positive harmonic functions has been studied in the punctured unit open ball in  [1]. The representation of a positive harmonic function in  is given by Bôcher’s Theorem. In this work, the representation of Bôchre’s has been generalized to a punctured bounded domain in , . Then the work has been extended to represent positive harmonic functions with two isolated singularities in a bounded domain of .