EXPLICIT EIGENVALUE INTERVALS FOR THE DIRICHLET PROBLEM OF A SINGULAR k-HESSIAN EQUATION

被引：0

作者：

Liang, Zaitao ^{[1
]}

Zhang, Xiuqiang ^{[1
]}

LI, Shengjun ^{[2
]}

机构：

[1] Anhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Anhui, Peoples R China

[2] Hainan Univ, Sch Sci, Haikou 570228, Hainan, Peoples R China

来源：

PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE | 2022年 / 23卷 / 04期

基金：

中国国家自然科学基金; 海南省自然科学基金;

关键词：

nontrivial radial solutions; k-Hessian equations; Dirichlet problem; explicit eigenvalue interval; RADIAL SOLUTIONS; PERIODIC-SOLUTIONS; BOUNDED SOLUTIONS; EXISTENCE; SYSTEMS;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We study the Dirichlet problem of a singular k-Hessian equation with an eigenvalue parameter A. We prove that the problem has at least one nontrivial radial solution for each A in an explicit eigenvalue interval. Some results in the literature are generalized and improved.

引用

页码：347 / 353

页数：7

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