The Lp Minkowski problems on affine dual quermassintegrals
Abstract
In this paper, we extend the affine dual curvature measures to the Lp setting and solve the existence part of the corresponding Minkowski problem for non-symmetric discrete measures when p>1 and for symmetric measures when p≥0. When p=0, the L0 Minkowski problem is the affine dual Minkowski problem, which is introduced and solved by Cai-Leng-Wu-Xi in [6].
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