On Existence of the Even Lp Gaussian MinkowskiProblem for p > n∗

Citation:

Hejun WANG.On Existence of the Even Lp Gaussian MinkowskiProblem for p > n∗[J].Chinese Annals of Mathematics B,2024,45(2):179~192
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Authors:

Hejun WANG;

Foundation:

This work was supported by the National Natural Science Foundation of China (No. 12301066), China Postdoctoral Science Foundation (No. 2020M682222) and the Natural Science Foundation of Shandong Province (No. ZR2020QA003).
Abstract: This paper concerns the even Lp Gaussian Minkowski problem in n-dimensional Euclidean space R n . The existence of the solution to the even Lp Guassian Minkowski problem for p > n is obtained.

Keywords:

Convex body, Existence, Lp Gaussian surface area measure, The even Lp Gaussian Minkowski problem

Classification:

52A40
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