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.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2025-01-01
|
| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2024-0111 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850246094324236288 |
|---|---|
| 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 | OA Journals |
| issn | 2391-5455 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj-art-3955ee9c23e84d31becea04e9c2794d52025-08-20T01:59:17ZengDe 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 |