Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

Matteo Novaga

Dip. di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, 56127 Pisa, Italy

novaga@dm.unipi.it

Keywords

  • Fractional Laplacian
  • Brunn-Minkowski inequality
  • level set convexity
  • Riesz capacity

Suggested citation

M. Novaga, B. Ruffini. “Brunn-Minkowski Inequality for the 1-Riesz Capacity and Level Set Convexity for the 1/2-Laplacian.” Journal of Convex Analysis 22 (2015), No. 4, 1125–1134. https://doi.org/10.68381/jca22059

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Published by Heldermann Verlag, 2015. Rights now held by Banach Press.