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Examples involving the geometric form of level curves of harmonic functions
Authors:A. Acker  L. Payne
Abstract:In the x-y plane, we give, for example, a Jordan curve Γ containing exactly one local maximum and one local minimum in the y-direction, such that some level curve of the capacity potential in the exterior complement of Γ has at least n local maxima and n local minima in the y-direction, n being any prescribed number.
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