Positive radial solutions for a boundary value problem associated to a system of elliptic equations with semipositone nonlinearities

被引：2

作者：

Guo, Limin ^{[1
]}

Xu, Jiafa ^{[2
]}

O'Regan, Donal ^{[3
]}

机构：

[1] Changzhou Inst Technol, Sch Sci, Liaohe, Changzhou 213002, Peoples R China

[2] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

[3] Natl Univ Ireland, Sch Math & Stat Sci, Galway, Ireland

来源：

AIMS MATHEMATICS | 2022年 / 8卷 / 01期

基金：

中国国家自然科学基金;

关键词：

system of elliptic equations; boundary value problem; positive radial solution; fixed point index; EXTERIOR; EXISTENCE; MULTIPLICITY;

D O I：

10.3934/math.2023053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we use the fixed point index theory to study the existence of positive radial solutions for a system of boundary value problems with semipositone second order elliptic equations. Some appropriate concave and convex functions are utilized to characterize coupling behaviors of our nonlinearities.

引用

页码：1072 / 1089

页数：18

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