Abathun, Addisalem (PhD)Feleke, Esubalew2019-09-302023-11-042019-09-302023-11-042018-08-05http://etd.aau.edu.et/handle/123456789/19241Potential Theory in the Complex Plane I’ll discuss some of the main definitions, theorems, and techniques on subharmonic functions and potential theory in the complex plane. This includes the origin of the subject in physics, connections with complex analysis, harmonic and subharmonic functions, logarithmic potentials, equilibrium potentials, Dirichlet problem, thin sets, polar sets, capacity.enSubharmonicFunctionsPotentialsThesis