Geodesic
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Asymptotic behavior of solutions of Monge–Ampère equations with general perturbations of boundary values
Jia, Xiaobiao1  ; Li, Xuemei2
1 School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450046, Henan, China.
2 School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, China.
Comptes Rendus. Mathématique, Tome 361 (2023) no. G1, pp. 337-347

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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].

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DOI : 10.5802/crmath.412
Classification : 35J96, 35B40

Jia, Xiaobiao 1 ; Li, Xuemei 2

1 School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450046, Henan, China.
2 School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, China.
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     author = {Jia, Xiaobiao and Li, Xuemei},
     title = {Asymptotic behavior of solutions of {Monge{\textendash}Amp\`ere} equations with general perturbations of boundary values},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {337--347},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {361},
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     year = {2023},
     doi = {10.5802/crmath.412},
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Jia, Xiaobiao; Li, Xuemei. Asymptotic behavior of solutions of Monge–Ampère equations with general perturbations of boundary values. Comptes Rendus. Mathématique, Tome 361 (2023) no. G1, pp. 337-347. doi: 10.5802/crmath.412

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