Abstract:In this paper, we study solutions to the max–min mean value problem [Formula: see text] in the Sierpinski Gasket with a prescribed Dirichlet datum at the three vertices of the first triangle. In the previous mean value, formula [Formula: see text] is a vertex of one triangle at one stage in the construction of the Sierpinski Gasket and [Formula: see text] is the set of vertices that are adjacent to [Formula: see text] at that stage. For this problem, it was known that there are existence and uniqueness of a co… Show more
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