The regularity of solutions to the Lp Gauss image problem
The Lp{L}_{p} Gauss image problem amounts to solving a class of Monge-Ampère type equations on the sphere. In this article, we discuss the regularity of solutions to the Lp{L}_{p} Gauss image problem.
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-01-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2024-0111 |
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| _version_ | 1832570419874365440 |
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| author | Jia Xiumei Chen Jing |
| author_facet | Jia Xiumei Chen Jing |
| author_sort | Jia Xiumei |
| collection | DOAJ |
| description | The Lp{L}_{p} Gauss image problem amounts to solving a class of Monge-Ampère type equations on the sphere. In this article, we discuss the regularity of solutions to the Lp{L}_{p} Gauss image problem. |
| format | Article |
| id | doaj-art-3955ee9c23e84d31becea04e9c2794d5 |
| institution | Kabale University |
| issn | 2391-5455 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj-art-3955ee9c23e84d31becea04e9c2794d52025-02-02T15:46:01ZengDe GruyterOpen Mathematics2391-54552025-01-012311406145210.1515/math-2024-0111The regularity of solutions to the Lp Gauss image problemJia Xiumei0Chen Jing1School of Mathematics, Hexi University, Zhangye 734000, ChinaSchool of Civil Engineering, Hexi University, Zhangye 734000, ChinaThe Lp{L}_{p} Gauss image problem amounts to solving a class of Monge-Ampère type equations on the sphere. In this article, we discuss the regularity of solutions to the Lp{L}_{p} Gauss image problem.https://doi.org/10.1515/math-2024-0111lp gauss image measurelp gauss image problemmonge-ampère equationregularity of solution35j6052a4052a38 |
| spellingShingle | Jia Xiumei Chen Jing The regularity of solutions to the Lp Gauss image problem Open Mathematics lp gauss image measure lp gauss image problem monge-ampère equation regularity of solution 35j60 52a40 52a38 |
| title | The regularity of solutions to the Lp Gauss image problem |
| title_full | The regularity of solutions to the Lp Gauss image problem |
| title_fullStr | The regularity of solutions to the Lp Gauss image problem |
| title_full_unstemmed | The regularity of solutions to the Lp Gauss image problem |
| title_short | The regularity of solutions to the Lp Gauss image problem |
| title_sort | regularity of solutions to the lp gauss image problem |
| topic | lp gauss image measure lp gauss image problem monge-ampère equation regularity of solution 35j60 52a40 52a38 |
| url | https://doi.org/10.1515/math-2024-0111 |
| work_keys_str_mv | AT jiaxiumei theregularityofsolutionstothelpgaussimageproblem AT chenjing theregularityofsolutionstothelpgaussimageproblem AT jiaxiumei regularityofsolutionstothelpgaussimageproblem AT chenjing regularityofsolutionstothelpgaussimageproblem |