The L-Minkowski problem for −n < p < 1

By Gabriele Bianchi, K. Boroczky, Andrea Colesanti, Deane Yang. Advances in Mathematics, 2017

87 citations recorded by the source corpus.

Abstract Chou and Wang's existence result for the L p -Minkowski problem on S n − 1 for p ∈ ( − n , 1 ) and an absolutely continuous measure is discussed and extended to more general measures. In particular, we provide an almost optimal sufficient condition for the case p ∈ ( 0 , 1 ) .

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/df0544d0980e6112c043bb392aabc71fa980a708

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In Applied Mathematics

1. Haodi Chen
2. Qi-Rui Li
3. Yiming Zhao
4. Shibing Chen
5. Yong Huang
6. Dongmeng Xi
7. Jian Lu
8. Yan-nan Liu

In Numerical Analysis

1. Yong Huang
2. Yiming Zhao

Citations in the corpus

• Variations of a class of Monge–Ampère-type functionals and their applications (2021, methodology): “We use an approximation argument similar to [4].”
• The Minkowski problem in Gaussian probability space (2020, background): “The readers are also referred to [4,16] for some recent development of the Lp Minkowski problem when p < 1.”