| 共振情况下m点p-Laplacian算子边值问题解的存在性 |
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| 引用本文： | 廉立芳,葛渭高.共振情况下m点p-Laplacian算子边值问题解的存在性[J].应用数学学报,2005,28(2):288-295. |
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| 作者姓名： | 廉立芳 葛渭高 |
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| 作者单位： | 1. 山东交通学院基础部,济南,250023
2. 北京理工大学理学院数学系,北京,100081 |
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| 基金项目： | 国家自然科学基金(19871005号)资助项目. |
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| 摘 要： | 本文研究了在共振情况下m点P-Laplacian算子边值问题解的存在性问题.在非线性项f(t,u,v)有界的条件下,根据Mawhin的连续定理和m点P-Laplacian算子的边值问题的上下解理论,得出共振问题解的存在的结论.
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| 关 键 词： | p-Laplacian算子 共振 拓扑度 上下解 |
| 修稿时间： | 2003年7月22日 |
THE EXISTENCE OF SOLUTIONS OF m-POINT p-LAPLACIAN BOUNDARY VALUE PROBLEMS AT RESONANCE |
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| LIAN LIFANG,Ge Weigao.THE EXISTENCE OF SOLUTIONS OF m-POINT p-LAPLACIAN BOUNDARY VALUE PROBLEMS AT RESONANCE[J].Acta Mathematicae Applicatae Sinica,2005,28(2):288-295. |
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| Authors: | LIAN LIFANG Ge Weigao |
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| Abstract: | The existence of solution with p-Laplacian operator of m-piont boundary value problem about resonance is studied by using coincidence degree continuation theorem and strict upper and lower solutions theory. |
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| Keywords: | p-laplacian operator resonance topological degree upper and lower solutions |
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