On the Lp Gaussian Minkowski problem
Abstract
Existence of symmetric (resp. asymmetric) solutions to the Lp Gaussian Minkowski problem for p≤ 0 (resp. p≥ 1) will be provided. Moreover, existence and uniqueness of smooth solutions to the problem for p>n will also be proved without the restriction that the Gaussian volumes of convex bodies are not less than one-second.
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