The Logarithmic Minkowski conjecture and the $L_p$-Minkowski Problem
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866914648358387712 |
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| author | Boroczky, Karoly J. |
| author_facet | Boroczky, Karoly J. |
| contents | The current state of art concerning the $L_p$ Minkowski problem as a Monge-Ampere equation on the sphere and Lutwak's Logarithmic Minkowski conjecture about the uniqueness of even solution in the $p=0$ case are surveyed and connections to many related problems are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_00194 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Logarithmic Minkowski conjecture and the $L_p$-Minkowski Problem Boroczky, Karoly J. Analysis of PDEs Metric Geometry The current state of art concerning the $L_p$ Minkowski problem as a Monge-Ampere equation on the sphere and Lutwak's Logarithmic Minkowski conjecture about the uniqueness of even solution in the $p=0$ case are surveyed and connections to many related problems are discussed. |
| title | The Logarithmic Minkowski conjecture and the $L_p$-Minkowski Problem |
| topic | Analysis of PDEs Metric Geometry |
| url | https://arxiv.org/abs/2210.00194 |