On the number of positive solutions for a four-point boundary value problem with generalized Laplacian

被引：2

作者：

Cheng, Tingzhi ^{[1
]}

Xu, Xianghui ^{[1
]}

机构：

[1] Ludong Univ, Sch Math & Stat Sci, Yantai 264025, Shandong, Peoples R China

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2021年 / 23卷 / 03期

关键词：

Four-point boundary value problem; generalized Laplacian; singular weight; positive solution; fixed point; MULTIPLICITY; EXISTENCE; KIND;

D O I：

10.1007/s11784-021-00883-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper mainly deals with a four-point boundary value problem for a class of generalized Laplacian equations with singular weight and positive parameter. By applying the fixed point theorem of expansion/compression of a cone and Schauder's fixed point theorem, we obtain the relations between the number of positive solutions and two different kinds of asymptotic behaviors of the nonlinearity at 0 and infinity. The conclusions in this paper can also be suitable for the corresponding multi-point boundary value problem.

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页数：22

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