Abstract: In this talk we consider a constant mean curvature (CMC) hypersurface in R^8, with an isolated singularity, that minimizes the

prescribed mean curvature functional. We show that in a ball centered at the singularity there exist a sequence of smooth CMC hypersurfaces 

thatconverges to the initial one. The proof relies on the Hardt-Simon foliation for area minimizing cones in R^8. The result extends the

Hardt-Simon smooth approximation theorem, established for area minimizers.

Brief biography:Konstantinos Leskas is currently a postdoctoral researcher at the University of Athens. He obtained his PhD in 2023 under 

the supervision of Costante Bellettini. His research focuses on geometric measure theory andgeometric analysis.

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