| 关于带权函数的的P—Laplacian方程的弱解的存在性问题 |
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| 引用本文： | 万松强,沈自飞.关于带权函数的的P—Laplacian方程的弱解的存在性问题[J].数学研究,2010,43(1):11-20. |
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| 作者姓名： | 万松强 沈自飞 |
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| 作者单位： | 浙江师范大学数理与信息学院,浙江,金华,321004 |
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| 基金项目： | Supported by National Nature Science Foundation of China(10771141); Natural Science Foundation of Zhejiang Province(Y7080008) |
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| 摘 要： | 主要运用了山路引理，讨论了带特殊权函数的P—Laplacian方程的弱解的存在性问题．
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| 关 键 词： | 山路引理 P—Laplacian方程 Dirichlet边值问题 （Ps）条件 |
The Existence of Weak Solutions for p-Laplacian Equation With Indefinite Weights |
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| Wan Songqiang,Shen Zifei.The Existence of Weak Solutions for p-Laplacian Equation With Indefinite Weights[J].Journal of Mathematical Study,2010,43(1):11-20. |
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| Authors: | Wan Songqiang Shen Zifei |
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| Institution: | Wan Songqiang Shen Zifei (Department of Mathematics,Zhejiang Normal University,Jinhua Zhejiang 321004) |
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| Abstract: | By using the mountain pass lemma,we study the existence of a nontrivial solution for a class of p-Laplacian equation with indefinite weights. |
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| Keywords: | Mountain pass lemma p-Laplacian Dirichlet value problem (PS)-condition |
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