EXISTENCE AND ASYMPTOTIC BEHAVIOR OF ENTIRE LARGE SOLUTIONS FOR HESSIAN EQUATIONS

被引：3
|
作者：
Li, Xiang [1 ]
Bao, Jiguang [1 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2024年 / 23卷 / 02期
基金：
北京市自然科学基金;
关键词：
Hessian equation; sublinear; existence; asymptotic behavior; large solution; NONRADIAL LARGE SOLUTIONS;
D O I：
10.3934/cpaa.2024009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give some existence and nonexistence results for nonradial entire large solutions of the Hessian equation S-k (D(2)u) = b(x)u(gamma) in the sublinear case 0 < gamma < k. The exact asymptotic behavior of large solutions at infinity is also studied when b(x) is the oscillation of a radial function |x|(-l) at infinity for l <= k - 1.
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页码：253 / 268
页数：16
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