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On the discrete functional $l_p$ Minkowski problem

Published 22 Sep 2020 in math.MG | (2009.10409v1)

Abstract: The discrete functional $L_p$ Minkowski problem is posed and solved. As a consequence, the general affine P\'{o}lya-Szeg\"{o} principle and the general affine Sobolev inequalities are established.

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