EXISTENCE AND ASYMPTOTIC BEHAVIOR OF ENTIRE LARGE SOLUTIONS FOR HESSIAN EQUATIONS

被引：2

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.

引用

页码：253 / 268

页数：16

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