How a minimal surface leaves a thin obstacle
Matteo Focardi, Emanuele Spadaro
TL;DR
This paper investigates the regularity and free boundary behavior of solutions to the thin obstacle problem involving nonparametric minimal surfaces with flat obstacles, providing detailed analysis and optimal regularity results.
Contribution
It offers the first detailed regularity and free boundary analysis for minimal surface thin obstacle problems with flat obstacles.
Findings
Established optimal regularity of solutions.
Provided detailed free boundary structure analysis.
Enhanced understanding of minimal surface obstacle problems.
Abstract
We prove optimal regularity and a detailed analysis of the free boundary of the solutions to the thin obstacle problem for nonparametric minimal surfaces with flat obstacles.
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