一类一维奇异p-Laplace方程组边值问题正解的存在性  

Existence of positive solutions to boundary value problems for a class of one-dimensional singular p-Laplace systems

作　　者：王芳[1] 钟承奎[2] 王彩勋[2] 

机构地区：[1]青海师范大学数学与信息科学系,西宁810008 [2]兰州大学数学与统计学院,兰州730000

出　　处：《兰州大学学报（自然科学版）》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)

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.

关 键 词：不动点指数 乘积锥 正解 p-Laplace方程组 

分 类 号：O175.14[理学—数学]