Geodesic
Counterexample to the convexity of level sets of solutions to the mean curvature equation
Journal of the European Mathematical Society, Tome 16 (2014) no. 6, pp. 1173-1182.

Voir la notice de l'article provenant de la source EMS Press

The convexity of level sets of solutions to the mean curvature equation is a long standing open problem. In this paper we give a counterexample to it.
DOI : 10.4171/jems/457
Classification : 35-XX
Keywords: Mean curvature, convexity, level set 
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     author = {Xu-Jia Wang},
     title = {Counterexample to the convexity of level sets of solutions to the mean curvature equation},
     journal = {Journal of the European Mathematical Society},
     pages = {1173--1182},
     publisher = {mathdoc},
     volume = {16},
     number = {6},
     year = {2014},
     doi = {10.4171/jems/457},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/457/}
}
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Xu-Jia Wang. Counterexample to the convexity of level sets of solutions to the mean curvature equation. Journal of the European Mathematical Society, Tome 16 (2014) no. 6, pp. 1173-1182. doi : 10.4171/jems/457. http://geodesic.mathdoc.fr/articles/10.4171/jems/457/

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