节点文献
一维奇异p-Laplace方程的正解
Positive Solutions of One-dimensional Singular p-Laplace Equations
【摘要】 本文获得了一维奇异p-Laplace方程的Dirichlet边值问题(|y′|p-2y′)′+g(t,y)=0,y(0)=y(1)=0,P>1的两个正解存在定理.这一结论是通过使用Leray-Schauder非线性抉择及上下解方法建立的.
【Abstract】 Two existence theorems about the positive solutions of the BVP for onedimensional singular P-Laplace equations (|y|p-2y’)’ + g(t, y) = 0, y(0) = g(1) = 0,p > 1 was established. The results are obtained by using the nonlinear alternative of Leray-Schauder and the lower-upper solution method.
- 【文献出处】 数学学报 ,ACTA MATHEMATICA SINICA , 编辑部邮箱 ,1998年06期
- 【分类号】O175.08
- 【被引频次】30
- 【下载频次】155