Mirror symmetric solutions to the centro-affine Minkowski problem

Nonuniqueness of solutions to the Lp-Minkowski problem

“…The L p -Minkowski problem was introduced by Lutwak [16] and has been studied by many authors [4,5,7,11,14,15,[17][18][19][20][21]. One of the main questions is the uniqueness of solutions.…”

The $L_p$ Gauss image problem

“…The L 0 Gauss image problem is just the Gauss image problem which was first mentioned in [5], and the existence of smooth solution for the Gauss image problem was in [14]. It is necessary to contrast the L p Gauss image problem with the various Minkowski problems and dual Minkowski problems that have been extensively studied, see [8,11,15,16,27,29,30,34,35,36,37,38,40,44,45] for the L p -Minkowski problem, [7,21,23,24,32,42,43] for the dual Minkowski problem, [6,9,10,25,26,31,39] for the L p dual Minkowski problem, [4,20,22,28] for the Orlicz Minkowski problem, [12,13,18,19,33] for the dual Orlicz Minkowski problem, [17] for the Orlicz Aleskandrov problem.…”

The 𝐿_{𝑝} Aleksandrov problem for origin-symmetric polytopes

“…The characterization problem, in this case, is the centro-affine Minkowski problem posed in Chou & Wang [18]. See also Jian, Lu & Zhu [29], Lu & Wang [31], Zhu [52], etc., on this problem.…”