Isolated Singularities of Positive Harmonic Functions in Bounded Domains

Authors

  • Haneen R. Hamad, Khaldoun S. Al-Yasiri Department of Mathematics, College of Science, University of Basrah, Basra, Iraq Author

Keywords:

Harmonic functions; isolated singularity; fundamental solution; Bôcher’s theorem.

Abstract

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 . 

Downloads

Download data is not yet available.

Downloads

Published

2022-12-31

Issue

Vol. 40 No. 3 (2022)

Section

Mathematics

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.