Boundary Behavior of Large Solutions to the Monge-Ampere Equation in a Borderline Case

被引：6
|
作者：
Zhang, Zhi Jun [1 ]
机构：
[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2019年 / 35卷 / 07期
关键词：
The Monge-Ampere equations; strictly convex large solutions; a borderline case; boundary behavior;
D O I：
10.1007/s10114-019-7524-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the boundary behavior of strictly convex large solutions to the Monge-Ampere equation detD(2)u(x) = b(x)f (u(x)), u > 0, x , where is a strictly convex and bounded smooth domain in (N) with N 2, f is normalized regularly varying at infinity with the critical index N and has a lower term, and b C () is positive in , but may be appropriate singular on the boundary.
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页码：1190 / 1204
页数：15
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