| 一类具p-Laplace算子的边值问题研究 |
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| 引用本文： | 王英博,丁 玮.一类具p-Laplace算子的边值问题研究[J].上海师范大学学报(自然科学版),2013,42(2):125-129. |
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| 作者姓名： | 王英博 丁 玮 |
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| 作者单位： | 上海师范大学数理学院,上海,200234 |
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| 基金项目： | 国家自然科学基金面上项目 |
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| 摘 要： | 研究了一类具p-Laplace算子的二阶三点边值问题,并且给出这个边值问题的格林函数.再利用上下解和单调迭代法,得出了这个方程极值解存在的充分条件.
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| 关 键 词： | p-Laplace算子 上下解 单调算子 线性边值问题 |
| 收稿时间： | 2012/12/10 0:00:00 |
Nonlinear boundary value problems with p-Laplace operator |
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| WANG Yingbo and DING Wei.Nonlinear boundary value problems with p-Laplace operator[J].Journal of Shanghai Normal University(Natural Sciences),2013,42(2):125-129. |
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| Authors: | WANG Yingbo and DING Wei |
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| Institution: | (College of Mathematics and Sciences, Shanghai Normal University, Shanghai 200234, China) |
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| Abstract: | We study the second -order three -point boundary value problem with a p-Laplacian operator, and give the expres- sions of the Green＇s function for the boundary problems. By the monotone iterative method, sufficient conditions for extreme solu- tions are obtained. An example is given to illuminate the effectiveness of the main result. |
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| Keywords: | p-Laplace operator upper and lower solution monotone operator nonlinear boundary value problems |
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