How a minimal surface leaves a thin obstacle
Focardi, Matteo1 ; Spadaro, Emanuele2
1 DiMaI, Università degli Studi di Firenze, Italy
2 La Sapienza Università di Roma, Italy
Annales de l'I.H.P. Analyse non linéaire, Tome 37 (2020) no. 4, pp. 1017-1046.
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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.

DOI : 10.1016/j.anihpc.2020.02.005
Classification : 35R35, 49Q05
Mots-clés : Minimal immersion, Thin obstacle problem, Free boundary, 2-Valued functions
Focardi, Matteo 1 ; Spadaro, Emanuele 2

1 DiMaI, Università degli Studi di Firenze, Italy
2 La Sapienza Università di Roma, Italy 
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Focardi, Matteo; Spadaro, Emanuele. How a minimal surface leaves a thin obstacle. Annales de l'I.H.P. Analyse non linéaire, Tome 37 (2020) no. 4, pp. 1017-1046. doi : 10.1016/j.anihpc.2020.02.005. http://archive.numdam.org/articles/10.1016/j.anihpc.2020.02.005/

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