The \(L_p\)-Gaussian Minkowski problem

DOI10.1007/s00526-021-02141-zzbMath1480.52006arXiv2103.00189OpenAlexW4205887695WikidataQ114018047 ScholiaQ114018047MaRDI QIDQ2065058

Jiaqian Liu

Publication date: 7 January 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.00189

zbMATH Keywords

Minkowski problem\(\sigma\)-symmetric weak solutionsGaussian probability spaces

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Monge-Ampère equations (35J96)

Related Items

On the \(L_p\) Gaussian Minkowski problem ⋮ Weighted Minkowski’s existence theorem and projection bodies ⋮ Existence of non-symmetric solutions to the Gaussian Minkowski problem ⋮ \textit{A priori} bounds, existence, and uniqueness of smooth solutions to an anisotropic \(L_p\) Minkowski problem for log-concave measure ⋮ Continuity of the solution to the \(L_p\) Minkowski problem in Gaussian probability space ⋮ \(L_p\) Blaschke-Santaló and Petty projection inequalities in Gaussian space ⋮ Unnamed Item ⋮ The \(L_p\) John ellipsoids for general measures

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