Asymptotic behavior of solutions of Monge–Ampère equations with general perturbations of boundary values

Xiaobiao Jia; Xuemei Li

doi:10.5802/crmath.412

Partial differential equations

Asymptotic behavior of solutions of Monge–Ampère equations with general perturbations of boundary values

Xiaobiao Jia ¹ ; Xuemei Li 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.

Comptes Rendus. Mathématique, Volume 361 (2023), pp. 337-347.

Abstract

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].

Received: 2022-05-21
Revised: 2022-08-04
Accepted: 2022-08-04
Published online: 2023-01-12

DOI: 10.5802/crmath.412

Classification: 35J96, 35B40

Author's affiliations:

Xiaobiao Jia ¹; Xuemei Li 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.

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     author = {Xiaobiao Jia and Xuemei Li},
     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},
     year = {2023},
     doi = {10.5802/crmath.412},
     language = {en},
}

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Xiaobiao Jia; Xuemei Li. Asymptotic behavior of solutions of Monge–Ampère equations with general perturbations of boundary values. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 337-347. doi : 10.5802/crmath.412. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.412/

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