| 一类椭圆方程无穷多解存在性 |
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| 引用本文： | 饶若峰. 一类椭圆方程无穷多解存在性[J]. 数学的实践与认识, 2006, 36(11): 238-242 |
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| 作者姓名： | 饶若峰 |
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| 作者单位： | 宜宾学院数学系,宜宾,644000 |
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| 基金项目： | 宜宾学院(青年)自然科学基金 |
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| 摘 要： | 利用H10(Ω)空间分解以及亏格和形变引理给出了半线性椭圆方程-Δu=λu+f(x,u)的D irichet问题无穷多解的存在性定理,其中λ1λ为任意给定正数.
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| 关 键 词： | Dirichlet问题 形变引理 特征值 |
| 修稿时间： | 2006-04-03 |
Existence of Infinitely Many Solutions for a Class of Elliptic Equations |
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| RAO Ruo-feng. Existence of Infinitely Many Solutions for a Class of Elliptic Equations[J]. Mathematics in Practice and Theory, 2006, 36(11): 238-242 |
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| Authors: | RAO Ruo-feng |
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| Abstract: | By ways of the orthogonal decomposition on H~1_0(Ω),genus and the Deformation Lemma,the author has obtained infinitely many solutions for a class of semilinear elliptic equations-Δu=λu+f(x,u),where λ≥1. |
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| Keywords: | dirichlet problem deformation lemma eigenvolue |
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