Existence and multiplicity of positive solutions for a fourth-order p-Laplace equations

被引：7

作者：

Bai, ZB ^{[1
]}

机构：

[1] Petr Univ E China, Dept Appl Math, Shandong 275061, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2001年 / 22卷 / 12期

关键词：

p-Laplacian; positive solution; cone;

D O I：

10.1023/A:1022851213931

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The solvability of one dimensional fourth-order p-Laplace equations of the type [GRAPHICS] where, g(v) \ v \ (p-2) v, p > 1 is investigated. With cone compression/extension theorem, some existence and multiplicity results of positive solution have been required according to different growth condition of nonlinear form f at zero and at infinity.

引用

页码：1476 / 1480

页数：5

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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (08) :2275-2283

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