Generalized Liouville theorem for viscosity solutions to a singular Monge-Ampère equation-Reference-Cited by-同舟云学术

Generalized Liouville theorem for viscosity solutions to a singular Monge-Ampère equation

Published:2023-01-01 Issue:1 Volume:12 Page:
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Jian Huaiyu¹,Wang Xianduo¹

Affiliation:

1. Department of Mathematical Sciences, Tsinghua University , Beijing 100084 , China

Abstract

Abstract In this article, we study the asymptotic behaviour at infinity for viscosity solutions to a singular Monge-Ampère equation in half space from affine geometry. In particular, we extend the Liouville theorem for smooth solutions to the case of viscosity solutions by a completely different method from the smooth case.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anona-2022-0284/pdf

Reference15 articles.

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4. E. Calabi, Complete affine hypersurfaces I, Symposia Math. 10 (1972), 19–38.

5. A. Figalli, The Monge-Ampère equation and its applications, European Math Soc Publ House, CH-8092 Zurich, Switzerland, 2017.

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