| 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. |
| 关键词: p-Laplace算子 上下解 单调算子 线性边值问题 |
| DOI： |
| 分类号: |
| 基金项目:国家自然科学基金面上项目(11271261) |
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| Nonlinear boundary value problems with p-Laplace operator |
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WANG Yingbo, DING Wei
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College of Mathematics and Sciences,Shanghai Normal University
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| Abstract: |
| We study the second-order three-point boundary value problem with a p-Laplacian operator,and give the expressions of the Green's function for the boundary problems. By the monotone iterative method,sufficient conditions for extreme solutions are obtained.An example is given to illuminate the effectiveness of the main result. |
| Key words: p-Laplace operator upper and lower solution monotone operator nonlinear boundary value problems |
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