Counterexample to the convexity of level sets of solutions to the mean curvature equation

  • Xu-Jia Wang

    Australian National University, Canberra, Australia

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