| 一类一维奇异p-Laplace方程组边值问题正解的存在性 |
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| 引用本文： | 王芳,钟承奎,王彩勋.一类一维奇异p-Laplace方程组边值问题正解的存在性[J].兰州大学学报(自然科学版),2009,45(1). |
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| 作者姓名： | 王芳 钟承奎 王彩勋 |
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| 作者单位： | 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 |
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| 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.
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| 关 键 词： | 不动点指数 乘积锥 正解 p-Laplace方程组 |
Existence of positive solutions to boundary value problems for a class of one-dimensional singular p-Laplace systems |
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| WANG Fang,ZHONG Cheng-Kui,WANG Cai-Xun.Existence of positive solutions to boundary value problems for a class of one-dimensional singular p-Laplace systems[J].Journal of Lanzhou University(Natural Science),2009,45(1). |
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| Authors: | WANG Fang ZHONG Cheng-Kui WANG Cai-Xun |
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| Institution: | 1.Department of Mathematics and Information Science;Qinghai Normal University;Xining 810008;China;2.School of Mathematics and Statistics;Lanzhou University;Lanzhou 730000;China |
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| Abstract: | 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. |
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| Keywords: | fixed point index Cartesian product of two cones positive solution p-Laplace systems |
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