Nonuniqueness of solutions to the L-p-Minkowski problem

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A flow method for the dual Orlicz–Minkowski problem (2020, background): “[5, 7, 8, 15, 17, 28, 32, 36, 39, 40, 41, 47, 48, 49, 50, 52, 54, 67, 68] and Schneider’s book [59], and corresponding references therein.”
On the uniqueness of Lp-Minkowski problems: The constant p-curvature case in R3 (2015, background): “hold when p < 1 as shown in Example 2.1. The lack of such an important ingredient causes the uniqueness a very diﬃcult and challenging problem for the case of p < 1. Very recently, Jian-Lu-Wang [26] proved that for any −n−1 < p < 0, there exists f > 0, ∈ C∞(Sn) such that the equation ”