| 带跳跃非线性边界的p-Laplacian问题(英文) |
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| 引用本文： | 杨菲菲,章国庆,刘三阳.带跳跃非线性边界的p-Laplacian问题(英文)[J].应用数学,2012,25(1):84-89. |
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| 作者姓名： | 杨菲菲 章国庆 刘三阳 |
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| 作者单位： | 1. 上海理工大学理学院,上海,200093
2. 西安电子科技大学理学院,陕西西安,710071 |
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| 基金项目： | Supported by the Shanghai Natural Science Foundation Project(11ZR1424500);the Leading Academic Discipline Project of Shanghai Municipal Government Project(S30501) |
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| 摘 要： | 利用Fadell与Rabinowitz提出的同调指标理论,研究了一类带不定权非线性边界的p-Laplacian特征值问题;更进一步,利用环绕定理,证明了一类带跳跃非线性边界的p-Laplacian问题非平凡解的存在性.
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| 关 键 词： | 特征值问题 同调指标 环绕定理 |
On the p-Laplacian Problems with Jumping Nonlinear Boundary Conditions |
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| YANG Feifei
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ZHANG Guoqing
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LIU Sanyang.On the p-Laplacian Problems with Jumping Nonlinear Boundary Conditions[J].Mathematica Applicata,2012,25(1):84-89. |
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| Authors: | YANG Feifei ZHANG Guoqing LIU Sanyang |
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| Institution: | 1.College of Sciences,University of Shanghai for Science and Technology,Shanghai 200093,China;2.College of Sciences,Xidian University,Xi’an 710071,China) |
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| Abstract: | Using the cohomological index theory introduced by Fadell and Rabinowitz,we investigate a class of p-Laplacian eigenvalue problems with indefinite nonlinear boundary conditions.Furthermore,we prove the existence of nontrivial solution for a class of p-Laplacian problems with jumping nonlinear boundary conditions by the linking arguments. |
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| Keywords: | Eigenvalue problem Cohomological index Linking |
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