On the discrete functional $l_p$ Minkowski problem

Abstract

The discrete functional $L_p$ Minkowski problem is posed and solved. As a consequence, the general affine Pólya-Szegö principle and the general affine Sobolev inequalities are established.

References in corpus (1)

• General Lp affine isoperimetric inequalities

Cited by in corpus (2)

• The $L_p$-Minkowski problem for $-n<p<1$
• The Orlicz version of the $L_p$ Minkowski problem on $S^{n-1}$ for $-n<p<0$