Abstract
The Fenchel problem of level sets is solved under the conditions that theboundaries of the nested family of convex sets in Rn>+1 aregiven by C3 n-dimensional differentiable manifolds and theconvex sets determine an open or closed convex set inRn+1.
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Rapcsák, T. An Unsolved Problem of Fenchel. Journal of Global Optimization 11, 207–217 (1997). https://doi.org/10.1023/A:1008245313867
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DOI: https://doi.org/10.1023/A:1008245313867