Preprint

Inserted: 29 oct 2025
Last Updated: 31 may 2026

Year: 2025
Doi: https://doi.org/10.48550/arXiv.2510.25576

Abstract:

We study the variational behavior of the total inverse mean curvature of curves with prescribed boundary in the half-plane. We characterize the existence of critical points with prescribed area. We show that such critical points are strongly stable. As an application, we prove a local minimality property.

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