Existence of solutions to the Orlicz–Minkowski problem

By Huaiyu Jian, Jian Lu. Advances in Mathematics, 2019

59 citations recorded by the source corpus.

Abstract In this paper the Orlicz–Minkowski problem, a generalization of the classical Minkowski problem, is studied. Using the variational method, we obtain a new existence result of solutions to this problem for general measures.

Subfields: Applied Mathematics, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/5c54ea3d1ab041d8412e7631d783d9900f4249df

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

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

In Molecular Biology

1. Yiming Zhao
2. Dongmeng Xi
3. Yong Huang
4. Jian Lu
5. Yan-nan Liu

Citations in the corpus

• The Minkowski problem in Gaussian probability space (2020, result): “See also [22,36,40,48,71,78] for additional results and contributions in the Orlicz extension of the classical Brunn-Minkowski theory.”
• A flow method for the dual Orlicz–Minkowski problem (2020, background): “The equation of the Orlicz-Minkowski problem also contains a constant c which is not equal to 1 in general, see [26, 30, 38].”