Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation

Wan Haitao; Shi Yongxiu; Liu Wei

doi:10.1515/anona-2022-0199

Advances in Nonlinear Analysis (Aug 2021)

Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation

Wan Haitao,
Shi Yongxiu,
Liu Wei

Affiliations

Wan Haitao: School of Mathematics and Information Science, Shandong Technology and Business University Yantai, 264005, Shandong, P R China
Shi Yongxiu: School of Mathematics and Information Science, Shandong Technology and Business University Yantai, 264005, Shandong, P R China
Liu Wei: School of Mathematics and Information Science, Shandong Technology and Business University Yantai, 264005, Shandong, P R China

DOI: https://doi.org/10.1515/anona-2022-0199
Journal volume & issue: Vol. 11, no. 1
pp. 321 – 356

Abstract

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In this paper, we establish the second boundary behavior of the unique strictly convex solution to a singular Dirichlet problem for the Monge-Ampère equation

Published in Advances in Nonlinear Analysis

ISSN: 2191-9496 (Print); 2191-950X (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics: Analysis
Website: https://www.degruyter.com/view/j/anona

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