EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A FOURTH-ORDER P-LAPLACE EQUATIONS

被引：0

作者：

白占兵

机构：

来源：

Applied Mathematics and Mechanics(English Edition) | 2001年 / 12期

关键词：

p_Laplacian; positive solution; cone;

D O I：

暂无

中图分类号：

O175.8 [边值问题];

学科分类号：

070104 ;

摘要：

The solvability of one dimensional fourth_order p_Laplace equations of the type(g(u″))″+λa(t)f(u)=0, 0<t<1, u(0)=u(1)=u″(0)=u″(1)=0,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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