| 非线性项变号的p-Laplace算子型两点边值问题的非负解 |
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| 引用本文： | 张鲁潮,刘锡平.非线性项变号的p-Laplace算子型两点边值问题的非负解[J].吉林大学学报(理学版),2009,47(3). |
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| 作者姓名： | 张鲁潮 刘锡平 |
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| 作者单位： | 上海理工大学,理学院,上海,200093 |
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| 基金项目： | 上海市教育委员会资助项目 |
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| 摘 要： | 利用Leray-Schauder度理论, 研究一类具有变号非线性项的p-Laplace算子型微分方程两点边值问题两个非负解的存在性, 在较弱的条件下得到了方程非负解存在的充分条件.
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| 关 键 词： | Leray-Schauder度 非线性项变号 p-Laplace算子 非负解 |
Nonnegative Solutions of p-Laplacian Two Point Boundary Value Problems with Sign Changing of Nonlinear Term |
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| ZHANG Lu-chao,LIU Xi-ping.Nonnegative Solutions of p-Laplacian Two Point Boundary Value Problems with Sign Changing of Nonlinear Term[J].Journal of Jilin University: Sci Ed,2009,47(3). |
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| Authors: | ZHANG Lu-chao LIU Xi-ping |
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| Institution: | College of Science;University of Shanghai for Science and Technology;Shanghai 200093;China |
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| Abstract: | Using the Leray-Schauder degree theory,we studied the existence of two nonnegative solutions to a type of p-Laplacian two point boundary value problems with sign changing of nonlinear term,and obtained sufficient conditions for the existence of the solution under weaker conditions. |
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| Keywords: | Leray-Schauder degree sign changing of nonlinear term p-Laplace operator nonnegative solution |
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