Counterexample to the convexity of level sets of solutions to the mean curvature equation
Xu-Jia Wang
Australian National University, Canberra, Australia
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Abstract
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.
Cite this article
Xu-Jia Wang, Counterexample to the convexity of level sets of solutions to the mean curvature equation. J. Eur. Math. Soc. 16 (2014), no. 6, pp. 1173–1182
DOI 10.4171/JEMS/457