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Study of sets of finite perimeter and minimal surfaces in metric measure spaces

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Nageswari Shanmugalingam

Professor A&S Mathematical Sciences
McMicken College of Arts and Sciences
shanmun@ucmail.uc.edu

Sets of finite perimenter are sets whose boundaries are regular enough for one to apply Stokes theorem. They are linked to the problem of finding sets whose boundaries are minimal surfaces. This project studies such sets and the corresponding minimal surface problem (such as regularity, existence, boundary behavior) in the metric setting.

Project commenced on August 1, 2010

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