On the Reifenberg Plateau Problem in Hilbert space
Yangqin Fang
TL;DR
This paper addresses the Reifenberg Plateau Problem within the context of Hilbert spaces, providing solutions to a classical geometric measure theory problem in an infinite-dimensional setting.
Contribution
It introduces a novel approach to solving the Reifenberg Plateau Problem specifically in Hilbert spaces, extending classical results to infinite-dimensional spaces.
Findings
Established existence of solutions in Hilbert spaces
Extended classical geometric measure theory results
Provided new methods for infinite-dimensional minimal surfaces
Abstract
In this paper, we will solve the Reifenberg Plateau Problem in Hilbert space.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Nonlinear Differential Equations Analysis · Fixed Point Theorems Analysis