Generalized Gaussian curvature flows related to the Orlicz Gaussian Minkowski problem
In this paper, we investigate two anisotropic Gaussian curvature flows. Through establishing the long-time existence and congergence for these two flows, we derive the existence results for the Orlicz-Gaussian Minkowski problem in both origin-symmetric and general convex body settings.
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-05-01
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| Series: | Advanced Nonlinear Studies |
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| Online Access: | https://doi.org/10.1515/ans-2023-0188 |
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| _version_ | 1849245521268441088 |
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| author | Liu Yannan Peng Yuxin |
| author_facet | Liu Yannan Peng Yuxin |
| author_sort | Liu Yannan |
| collection | DOAJ |
| description | In this paper, we investigate two anisotropic Gaussian curvature flows. Through establishing the long-time existence and congergence for these two flows, we derive the existence results for the Orlicz-Gaussian Minkowski problem in both origin-symmetric and general convex body settings. |
| format | Article |
| id | doaj-art-8babf93f02fc4ebd822dd7a354016fff |
| institution | Kabale University |
| issn | 2169-0375 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advanced Nonlinear Studies |
| spelling | doaj-art-8babf93f02fc4ebd822dd7a354016fff2025-08-20T03:58:48ZengDe GruyterAdvanced Nonlinear Studies2169-03752025-05-0125385387010.1515/ans-2023-0188Generalized Gaussian curvature flows related to the Orlicz Gaussian Minkowski problemLiu Yannan0Peng Yuxin1School of Mathematics and Statistics, Beijing Technology and Business University, Beijing, 100048, P.R. ChinaSchool of Mathematics and Statistics, Beijing Technology and Business University, Beijing, 100048, P.R. ChinaIn this paper, we investigate two anisotropic Gaussian curvature flows. Through establishing the long-time existence and congergence for these two flows, we derive the existence results for the Orlicz-Gaussian Minkowski problem in both origin-symmetric and general convex body settings.https://doi.org/10.1515/ans-2023-0188monge-ampère equationorlicz-minkowski problemgauss curvature flowexistence of solutions35k9652a20 |
| spellingShingle | Liu Yannan Peng Yuxin Generalized Gaussian curvature flows related to the Orlicz Gaussian Minkowski problem Advanced Nonlinear Studies monge-ampère equation orlicz-minkowski problem gauss curvature flow existence of solutions 35k96 52a20 |
| title | Generalized Gaussian curvature flows related to the Orlicz Gaussian Minkowski problem |
| title_full | Generalized Gaussian curvature flows related to the Orlicz Gaussian Minkowski problem |
| title_fullStr | Generalized Gaussian curvature flows related to the Orlicz Gaussian Minkowski problem |
| title_full_unstemmed | Generalized Gaussian curvature flows related to the Orlicz Gaussian Minkowski problem |
| title_short | Generalized Gaussian curvature flows related to the Orlicz Gaussian Minkowski problem |
| title_sort | generalized gaussian curvature flows related to the orlicz gaussian minkowski problem |
| topic | monge-ampère equation orlicz-minkowski problem gauss curvature flow existence of solutions 35k96 52a20 |
| url | https://doi.org/10.1515/ans-2023-0188 |
| work_keys_str_mv | AT liuyannan generalizedgaussiancurvatureflowsrelatedtotheorliczgaussianminkowskiproblem AT pengyuxin generalizedgaussiancurvatureflowsrelatedtotheorliczgaussianminkowskiproblem |