The $L_p$-Gaussian Minkowski problem
Abstract
In this paper, we extend the article that Minkowski problem in Gaussian probability space of Huang et al. to $L_p$-Gaussian Minkowski problem, and obtain the existence and uniqueness of $o$-symmetry weak solution in case of $p\geq1$.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2021
- DOI:
- 10.48550/arXiv.2103.00189
- arXiv:
- arXiv:2103.00189
- Bibcode:
- 2021arXiv210300189L
- Keywords:
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- Mathematics - Probability;
- Mathematics - Analysis of PDEs
- E-Print:
- renew