In this paper, we revise Monti's results on the blow-ups of H-perimeter minimizing sets in Hⁿ. Monti demonstrated that the Lipschitz approximation of the blow-up, after rescaling by the square root of the excess, converges to a limit function for n ≥ 2. However, the partial differential equation he derived for this limit function φ through contact variation is incorrect. Instead, the correct equation is that the horizontal Laplacian of the limit function φ is independent of the coordinate y₁ and solves equation 1 weakly.
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Yonghao Yu (2024) studied this question.
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