一类二阶半正Dirichlet边值问题正解的存在性和多解性  

Existence and Multiplicity of PositiveSolutions for a Class of Second-OrderDirichlet Boundary Value Problems

作　　者：李存丽 

机构地区：[1]西北师范大学,数学与统计学院,甘肃 兰州

出　　处：《理论数学》2023年第7期2007-2016,共10页Pure Mathematics

摘　　要：考察二阶半正 Dirichlet 边值问题 正解的存在性与多解性,其中入为正参数,f∈C([0,∞),[0,∞)),存在∧> 0,使得∈∈[0,∧]。当f 满足时,运用不动点指数理论和上下解方法证明了存在常数λ∗ > 0,使得当λ>λ∗时,问题(P) 至少存在两个正解。In this paper,we are considered with the existence and multiplicity of positive solutions for second-order Dirichlet boundary value problems where λ is a positive parameter, f∈C([0,∞),[0,∞)), there exists ∧> 0, such that ∈∈[0,∧]. When f satisfies , we apply a fixed point index theorem and the method of the upper and lower solutions to prove that there exists λ∗ > 0 such that the problem (P) has at least two positive solutions for λ>λ∗.

关 键 词：正解 半正问题 不动点指数理论 上下解 

分 类 号：O17[理学—数学]