Asymptotic behavior of solutions of Monge–Ampère equations with general perturbations of boundary values
In this paper, we consider the asymptotic behavior of solutions of Monge–Ampère equations with general boundary value conditions in half spaces, which reveals the accurate effect of boundary value condition on asymptotic behavior and improves the result in [13].
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2023-01-01
|
| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.412/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1825206302515658752 |
|---|---|
| author | Jia, Xiaobiao Li, Xuemei |
| author_facet | Jia, Xiaobiao Li, Xuemei |
| author_sort | Jia, Xiaobiao |
| collection | DOAJ |
| description | In this paper, we consider the asymptotic behavior of solutions of Monge–Ampère equations with general boundary value conditions in half spaces, which reveals the accurate effect of boundary value condition on asymptotic behavior and improves the result in [13]. |
| format | Article |
| id | doaj-art-5687604d2c2447c1a52b00d7a9e49db8 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-5687604d2c2447c1a52b00d7a9e49db82025-02-07T11:06:07ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-01-01361G133734710.5802/crmath.41210.5802/crmath.412Asymptotic behavior of solutions of Monge–Ampère equations with general perturbations of boundary valuesJia, Xiaobiao0Li, Xuemei1School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450046, Henan, China.School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, China.In this paper, we consider the asymptotic behavior of solutions of Monge–Ampère equations with general boundary value conditions in half spaces, which reveals the accurate effect of boundary value condition on asymptotic behavior and improves the result in [13].https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.412/ |
| spellingShingle | Jia, Xiaobiao Li, Xuemei Asymptotic behavior of solutions of Monge–Ampère equations with general perturbations of boundary values Comptes Rendus. Mathématique |
| title | Asymptotic behavior of solutions of Monge–Ampère equations with general perturbations of boundary values |
| title_full | Asymptotic behavior of solutions of Monge–Ampère equations with general perturbations of boundary values |
| title_fullStr | Asymptotic behavior of solutions of Monge–Ampère equations with general perturbations of boundary values |
| title_full_unstemmed | Asymptotic behavior of solutions of Monge–Ampère equations with general perturbations of boundary values |
| title_short | Asymptotic behavior of solutions of Monge–Ampère equations with general perturbations of boundary values |
| title_sort | asymptotic behavior of solutions of monge ampere equations with general perturbations of boundary values |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.412/ |
| work_keys_str_mv | AT jiaxiaobiao asymptoticbehaviorofsolutionsofmongeampereequationswithgeneralperturbationsofboundaryvalues AT lixuemei asymptoticbehaviorofsolutionsofmongeampereequationswithgeneralperturbationsofboundaryvalues |