Coincidence set of minimal surfaces for the thin obstacle
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- Athanasopoulos, I. Manuscripta Math (1983) 42: 199. doi:10.1007/BF01169583
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We consider the Thin Obstacle Problem for minimal surfaces in two dimensions. The coincidence set for an analytic obstacle is proved to be a finite union of intervals. We show also that the topological structure of the coincidence set is generically identical to the above in the space of twice-continuously differentiable obstacles.