The eigenvalue problem of a singular k-Hessian equation

被引：29

作者：

Zhang, Xinguang ^{[1
,3
]}

Xu, Pengtao ^{[2
]}

Wu, Yonghong ^{[3
]}

机构：

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

[2] Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai 200083, Peoples R China

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

来源：

APPLIED MATHEMATICS LETTERS | 2022年 / 124卷

基金：

中国国家自然科学基金;

关键词：

k-Hessian equation; Upper-lower solutions; Eigenvalue problem; Singularity; DIRICHLET PROBLEM; RADIAL SOLUTIONS; EXISTENCE; NONEXISTENCE; SUFFICIENT;

D O I：

10.1016/j.aml.2021.107666

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the radial solutions for the eigenvalue problem of a singular k-Hessian equation. By constructing the upper and lower solutions of the k-Hessian equation, the existence of a radial solution for the eigenvalue problem is established via Schauder's fixed point theorem under the case where the nonlinearity possesses a singularity with respect to the space variable. (c) 2021 Elsevier Ltd. All rights reserved.

引用

页数：9

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