Study of a generalized logistic equation with nonlocal reaction term

被引：0

作者：

Zhou, Jianhua ^{[1
]}

Gao, Ge ^{[2
]}

Yan, Baoqiang ^{[2
]}

机构：

[1] Shandong Normal Univ, Life Sci Coll, Jinan, Shandong, Peoples R China

[2] Shandong Normal Univ, Sch Math Sci, Jinan, Shandong, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2018年

基金：

中国国家自然科学基金;

关键词：

Logistic equation; Nonlocal term; Bifurcation method; Sub-supersolution method; Existence; KIRCHHOFF TYPE PROBLEMS; EXISTENCE; DIFFUSION; STABILITY;

D O I：

10.1186/s13661-018-1066-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the generalized logistic equation with nonlocal reaction term -Delta u = u(lambda + b integral(Omega) u' dx-f(u)) in Omega, u > 0 in Omega, u = 0 on partial derivative Omega. Using the bifurcation and sub-supersolution method, we obtain the non-existence, existence, and uniqueness of positive solutions for different parameters on the nonlocal terms. Our works about the nonlocal elliptic problem improve the results in the previous literature.

引用

页数：20

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