| 一类带非线性边界的半线性椭圆方程组的多个解 |
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| 引用本文： | 汪继秀.一类带非线性边界的半线性椭圆方程组的多个解[J].襄樊学院学报,2013(11):5-10,14. |
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| 作者姓名： | 汪继秀 |
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| 作者单位： | 湖北文理学院数学与计算机科学学院,湖北襄阳441053 |
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| 基金项目： | 基金项目：湖北省教育厅科研计划项目（Q20122504） |
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| 摘 要： | 考虑一类带非线性边界的半线性椭圆方程组解的存在性，主要通过Nerahi流形方法证明了该方程组至少有两个不同的非负解．
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| 关 键 词： | 半线性椭圆方程组 非线性边界 Nehafi流形 非负解 |
Multiple Solutions for a Semilinear Elliptic System with Nonlinear Boundary Condition |
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| WANG Ji-xiu.Multiple Solutions for a Semilinear Elliptic System with Nonlinear Boundary Condition[J].Journal of Xiangfan University,2013(11):5-10,14. |
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| Authors: | WANG Ji-xiu |
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| Institution: | WANG Ji-xiu (College of Mathematical and Computer Sciences, Hubei University of Arts and Science, Xiangyang 441053, China) |
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| Abstract: | In this paper, we study the Nehari manifold and its application to a class semilinear elliptic system. We prove that the system has at least two nontrivial nonnegative solutions. |
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| Keywords: | Semilinear elliptic system Nonlinear boundary condition Nehari manifold Nonnegative solutions |
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