JournalsaihpcVol. 37, No. 4pp. 1017–1046

How a minimal surface leaves a thin obstacle

  • Matteo Focardi

    DiMaI, Università degli Studi di Firenze, Italy

  • Emanuele Spadaro

    La Sapienza Università di Roma, Italy
How a minimal surface leaves a thin obstacle cover

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Abstract

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. 1017–1046

DOI 10.1016/J.ANIHPC.2020.02.005