Positive solutions for a fourth-order p-Laplacian boundary value problem

被引：1

作者：

Graef, John R. R. ^{[1
]}

Yang, Bo ^{[2
]}

机构：

[1] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

[2] Kennesaw State Univ, Dept Math, Kennesaw, GA 30144 USA

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2023年 / 30卷 / 05期

关键词：

Boundary value problems; existence of positive solutions; nonexistence of positive solutions; EXISTENCE;

D O I：

10.1515/gmj-2023-2034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The authors consider a fourth-order boundary value problem with a p-Laplacian appearing in both the equation and the boundary conditions. Upper and lower estimates for positive solutions to the problem are proved. Sufficient conditions for the existence and nonexistence of positive solutions to the problem are obtained and illustrated with an example.

引用

页码：703 / 711

页数：9

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