On Existence of the Even L _p Gaussian Minkowski Problem for p > n

Abstract

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.

Keywords

Convex body / Existence / L _p Gaussian surface area measure / The even L _p Gaussian Minkowski problem

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