The existence and multiplicity of positive solutions for a class of nonlocal elliptic problems

被引：27

作者：

Yan, Baoqiang ^{[1
]}

Ma, Tianfu ^{[1
]}

机构：

[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2016年

关键词：

sub-supersolution method; bifurcation theory; nonlocal elliptic equations; degree; existence; multiplicity; KIRCHHOFF-TYPE PROBLEMS; CONVEX NONLINEARITIES; EQUATIONS; CONCAVE;

D O I：

10.1186/s13661-016-0670-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence of a solution between a well-ordered subsolution and supersolution of a class of nonlocal elliptic problems and give some degree information. Using the method and bifurcation theory, we present the existence and multiplicity of positive solutions for the nonlocal problems with the changes of the parameter.

引用

页数：35

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