摘要
利用乘积锥上的不动点指数定理,研究了一类一维奇异p-Laplace方程组边值问题正解的存在性.其中,第一个方程的非线性项是超线性,第二个方程的非线性项是次线性,并举例加以说明.
With the fixed point index theory on the Cartesian product of two cones, the existence of positive solutions to boundary value problems was considered for a class of one-dimensional singular p-Laplace systems, where the nonlinear term is superlinear in one equation and sublinear in the other equation. An example was also given to illustrate the main result.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第1期103-106,111,共5页
Journal of Lanzhou University(Natural Sciences)
基金
国家自然科学基金项目(10771089)
关键词
不动点指数
乘积锥
正解
p-Laplace方程组
fixed point index
Cartesian product of two cones
positive solution
p-Laplace systems
