Brunn-Minkowski inequality for the 1-Riesz capacity and level set convexity for the 1 / 2-Laplacian

@inproceedings{Novaga2014BrunnMinkowskiIF,
  title={Brunn-Minkowski inequality for the 1-Riesz capacity and level set convexity for the 1 / 2-Laplacian},
  author={Matteo Novaga and Berardo Ruffini},
  year={2014}
}
We prove that that the 1-Riesz capacity satisfies a Brunn-Minkowski inequality, and that the capacitary function of the 1/2-Laplacian is level set convex. 

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