This paper concerns the even L_(p)Gaussian Minkowski problem in n-dimensional Euclidean space R^(n).The existence of the solution to the even L_(p)Guassian Minkowski problem for p>n is obtained.
This paper investigates continuity of the solution to the even logarithmic Minkowski problem in the plane. It is shown that the weak convergence of a sequence of cone-volume measures in R^2 implies the convergence of ...This paper investigates continuity of the solution to the even logarithmic Minkowski problem in the plane. It is shown that the weak convergence of a sequence of cone-volume measures in R^2 implies the convergence of the sequence of the corresponding origin-symmetric convex bodies in the Hausdorff metric.展开更多
基金supported by the National Natural Science Foundation of China(No.12301066)China Postdoctoral Science Foundation(No.2020M682222)the Natural Science Foundation of Shandong Province(No.ZR2020QA003)。
文摘This paper concerns the even L_(p)Gaussian Minkowski problem in n-dimensional Euclidean space R^(n).The existence of the solution to the even L_(p)Guassian Minkowski problem for p>n is obtained.
基金supported by National Natural Science Foundation of China (Grant No. 11671325)
文摘This paper investigates continuity of the solution to the even logarithmic Minkowski problem in the plane. It is shown that the weak convergence of a sequence of cone-volume measures in R^2 implies the convergence of the sequence of the corresponding origin-symmetric convex bodies in the Hausdorff metric.
