| 含奇性拟线性椭圆型方程的特征值问题 |
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| 引用本文： | 熊辉,金珍.含奇性拟线性椭圆型方程的特征值问题[J].南昌大学学报(理科版),2012,36(1):23-28,34. |
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| 作者姓名： | 熊辉 金珍 |
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| 作者单位： | 1. 东莞理工学院数学教研室,广东东莞,523808
2. 南昌工程学院理学系,江西南昌,330099 |
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| 基金项目： | 国家自然科学基金资助项目，东莞理工学院青年科学基金资助项目，南昌工程学院青年基金资助项目 |
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| 摘 要： | 讨论奇性拟线性椭圆型方程的特征值问题,其中,第一特征值对应的特征函数是C1,α(Ω)相关的,而且是正的、单一的、孤立的,且关于非负特征函数是唯一的正特征值。此外,这些性质也被推广到更一般的奇性情况。
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| 关 键 词： | 奇性 特征值问题 单一性 孤立性 |
Eigenvalue problem for singular quasilinear elliptic equation |
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| XIONG Hui
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JIN Zhen.Eigenvalue problem for singular quasilinear elliptic equation[J].Journal of Nanchang University(Natural Science),2012,36(1):23-28,34. |
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| Authors: | XIONG Hui JIN Zhen |
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| Institution: | 1.Department of Mathematics,University of Technology of Dongguan,Guangdong Donguan 523106,China; 2.Department of Science,Nanchang Institute of Technology,Nanchang 330099,China) |
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| Abstract: | The problem of eigenvalues and eigenfunctions of a quasilinear elliptic equation involving singularity is studied.The first eigenvalue is associated to a C1,α(Ω) eigenfunction which is positive and unique,that is,the first eigenvalue is simple.Moreover the first eigenvalue is isolated and is the unique positive eigenvalue associated to a non-negative eigenfunction.Furthermore,these properties are extended to more general situations. |
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| Keywords: | singularity eigenvalue problem simplicity isolati |
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