本文研究了L_p-Minkowski问题(解是中心在原点的椭球的假定下).利用支撑函数与高斯曲率的关系,获得了当p<1时椭球解的唯一性,推广了L_p-Minkowski问题以及L_p-和的Christoffel-Minkowski问题的唯一性结果.
In this paper, we study the Lp-Minkowski problem(under the assumption that the solutions are ellipsoids centered at the origin). Through the relation between support function and Gauss curvature, we obtain the uniqueness of ellipsoid solutions for p < 1, and generalize the uniqueness result for Lp-Minkowski problem and Christoffel-Minkowski problem of L_p-sum.
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