摘要
In this paper,it is proved that the weak convergence of the L_(p) Gaussian surface area measures implies the convergence of the corresponding convex bodies in the Hausdorff metric for p≥1.Moreover,continuity of the solution to the L_(p) Gaussian Minkowski problem with respect to p is obtained.
基金
Supported by China Postdoctoral Science Foundation(Gratn No.2020M682222)
Natural Science Foundation of Shandong Province(Grant Nos.ZR2020QA003,ZR2020QA004)。
