Necessary and sufficient conditions of entire subsolutions to Monge-Ampere type equations

被引：6
|
作者：
Yang, Yuyao [1 ]
Zhang, Xuemei [1 ]
机构：
[1] North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
来源：
ANNALS OF FUNCTIONAL ANALYSIS | 2023年 / 14卷 / 01期
基金：
北京市自然科学基金;
关键词：
Monge-Ampere type equation; Entire subsolutions; Existence; Necessary and sufficient condition; POTENTIAL FUNCTIONS; EXISTENCE; NONEXISTENCE; REGULARITY;
D O I：
10.1007/s43034-022-00228-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The primary objective of this article is to investigate the Monge-Ampere type equation det(1/n) (D(2)u + A(x, u, Du)) = f(u) in R-n. Among others, the necessary and sufficient condition on f for the existence of entire subsolutions is established. This is probably the first time the necessary and sufficient conditions for the existence of entire subsolutions of Monge-Ampere type equations with A depending on Du has been studied.
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页数：15
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