Existence of Positive Solutions for a Singular Hessian Equation with a Negative Augmented Term

被引：4

作者：

Zhang, Xinguang ^{[1
,2
]}

Chen, Peng ^{[1
]}

Wu, Yonghong ^{[2
]}

Wiwatanapataphee, Benchawan ^{[2
]}

机构：

[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China

[2] Curtin Univ, Dept Math & Stat, Perth, WA 6845, Australia

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / 02期

关键词：

Positive solutions; Hessian equation; Negative augmented term; Upper and lower solutions; RADIAL SOLUTIONS; DIRICHLET PROBLEM; WEAK SOLUTIONS; BLOW-UP; NONEXISTENCE; COMMUTATORS; COMPACTNESS; BEHAVIOR; THEOREM; SYSTEM;

D O I：

10.1007/s12346-023-00943-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we focus on the existence of positive solutions for a singular Hessian equation with a negative augmented term. By finding more appropriate upper and lower solutions, we not only overcome the difficulty due to the negative augmented term but also remove a critical condition required in the existing work and establish new results for the existence of positive solutions of the equations under study. Our results improve and complement many existing works.

引用

页数：20

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