Article ID Journal Published Year Pages File Type
839447 Nonlinear Analysis: Theory, Methods & Applications 2015 16 Pages PDF
Abstract

We study the blow-up of HH-perimeter minimizing sets in the Heisenberg group HnHn, n≥2n≥2. We show that the Lipschitz approximations rescaled by the square root of excess converge to a limit function. Assuming a stronger notion of local minimality, we prove that this limit function is harmonic for the Kohn Laplacian in a lower dimensional Heisenberg group.

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Physical Sciences and Engineering Engineering Engineering (General)
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