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We prove the 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.
Cite this article
Matteo Focardi, Emanuele Spadaro, How a minimal surface leaves a thin obstacle. Ann. Inst. H. Poincaré Anal. Non Linéaire 37 (2020), no. 4, pp. 1017–1046DOI 10.1016/J.ANIHPC.2020.02.005