Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations

被引：46
|
作者：
He, Jianxin [1 ]
Zhang, Xinguang [2 ,4 ]
Liu, Lishan [3 ,4 ]
Wu, Yonghong [4 ]
机构：
[1] Nanjing Univ Posts & Telecommun, Sch Sci, Nanjing 210023, Jiangsu, Peoples R China
[2] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
[3] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[4] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia
来源：
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2018年 / 23卷 / 04期
基金：
中国国家自然科学基金;
关键词：
k-Hessian equation; existence and nonexistence; multiplicity; radial solutions; FRACTIONAL DIFFERENTIAL-EQUATION; 2ND-ORDER ELLIPTIC-EQUATIONS; SYMMETRIC POSITIVE SOLUTIONS; SYSTEM; UNIQUENESS; EIGENVALUE; MODEL;
D O I：
10.15388/NA.2018.4.2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish the existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations in a ball. Under some suitable local growth conditions for nonlinearity, several new results are obtained by using the fixed point theorem.
引用
收藏
页码：475 / 492
页数：18
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