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

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

Bibliographic Details
Main Authors:	Wan Haitao, Shi Yongxiu, Liu Wei
Format:	Article
Language:	English
Published:	De Gruyter 2021-08-01
Series:	Advances in Nonlinear Analysis
Subjects:	monge-ampère equations strictly convex solution singular boundary value problem the second boundary behavior 35b40 35j25 35j60 35j75 35j96
Online Access:	https://doi.org/10.1515/anona-2022-0199

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spelling	doaj-26336df1e20944b68ca26a8c8d75894a2021-10-03T07:42:25ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2021-08-0111132135610.1515/anona-2022-0199Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equationWan Haitao0Shi Yongxiu1Liu Wei2School of Mathematics and Information Science, Shandong Technology and Business University Yantai, 264005, Shandong, P R ChinaSchool of Mathematics and Information Science, Shandong Technology and Business University Yantai, 264005, Shandong, P R ChinaSchool of Mathematics and Information Science, Shandong Technology and Business University Yantai, 264005, Shandong, P R ChinaIn this paper, we establish the second boundary behavior of the unique strictly convex solution to a singular Dirichlet problem for the Monge-Ampère equationhttps://doi.org/10.1515/anona-2022-0199monge-ampère equationsstrictly convex solutionsingular boundary value problemthe second boundary behavior35b4035j2535j6035j7535j96
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Wan Haitao Shi Yongxiu Liu Wei
spellingShingle	Wan Haitao Shi Yongxiu Liu Wei Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation Advances in Nonlinear Analysis monge-ampère equations strictly convex solution singular boundary value problem the second boundary behavior 35b40 35j25 35j60 35j75 35j96
author_facet	Wan Haitao Shi Yongxiu Liu Wei
author_sort	Wan Haitao
title	Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation
title_short	Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation
title_full	Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation
title_fullStr	Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation
title_full_unstemmed	Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation
title_sort	refined second boundary behavior of the unique strictly convex solution to a singular monge-ampère equation
publisher	De Gruyter
series	Advances in Nonlinear Analysis
issn	2191-9496 2191-950X
publishDate	2021-08-01
description	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
topic	monge-ampère equations strictly convex solution singular boundary value problem the second boundary behavior 35b40 35j25 35j60 35j75 35j96
url	https://doi.org/10.1515/anona-2022-0199
work_keys_str_mv	AT wanhaitao refinedsecondboundarybehavioroftheuniquestrictlyconvexsolutiontoasingularmongeampereequation AT shiyongxiu refinedsecondboundarybehavioroftheuniquestrictlyconvexsolutiontoasingularmongeampereequation AT liuwei refinedsecondboundarybehavioroftheuniquestrictlyconvexsolutiontoasingularmongeampereequation
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Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation

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