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．
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.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
1998年第6期1255-1264,共10页
Acta Mathematica Sinica：Chinese Series
关键词
上下解
边值问题
P-拉普拉斯方程
正解
存在性
one-dimensional singular p-Laplace equation, Lower-upper solution method,Nonlinear alternative of Leray-Schauder, Positive solution
