| 带不定权非线性边界的p-Laplacian问题解的存在性 |
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| 引用本文： | 杨菲菲,章国庆.带不定权非线性边界的p-Laplacian问题解的存在性[J].纯粹数学与应用数学,2012,28(3):412-417. |
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| 作者姓名： | 杨菲菲 章国庆 |
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| 作者单位： | 上海理工大学理学院,上海,200093 |
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| 基金项目： | 上海市自然科学基金，上海市重点学科建设项目 |
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| 摘 要： | 研究了一类带不定权非线性边界的p-Laplacian椭圆方程.获得了当非线性边界的特征值参数小于第二特征值时,该方程存在非平凡解.主要工具为环绕定理.
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| 关 键 词： | 环绕定理 非线性边界 p-Laplacian问题 |
Existence result for the p-Laplacian problem with nonlinear boundary conditions |
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| Yang Feifei,Zhang Guoqing.Existence result for the p-Laplacian problem with nonlinear boundary conditions[J].Pure and Applied Mathematics,2012,28(3):412-417. |
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| Authors: | Yang Feifei Zhang Guoqing |
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| Institution: | (College of Sciences,University of Shanghai for Science and Technology,Shanghai 200093,China) |
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| Abstract: | In this paper,we consider a class of p-Laplacian elliptic equation with indefinite weights nonlinear boundary condition.The existence of nontrivial solutions for the equation is obtained when the eigenvalue parameter of the indefinite weight is less than the second eigenvalue.The main tool is the linking argument. |
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| Keywords: | linking argument nonlinear boundary condition p-Laplacian problem |
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