| 几乎临界增长的方程外部Dirichlet问题解的存在性 |
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| 引用本文： | 郭竹梅.几乎临界增长的方程外部Dirichlet问题解的存在性[J].湖南文理学院学报(自然科学版),2011(2):9-12. |
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| 作者姓名： | 郭竹梅 |
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| 作者单位： | 安徽科技学院理学院; |
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| 基金项目： | 安徽科技学院校级课题(ZRC2008194) |
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| 摘 要： | 讨论了一类几乎临界增长的半线性椭圆方程,运用变分法和Hardy不等式得出了该类方程在外部区域上存在非平凡解.
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| 关 键 词： | 临界增长 变分法 Hardy不等式 非平凡解 |
Existence of solution for the exterior dirichlet problems involving the equation with nearly critical exponent |
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| GUO Zhu-mei.Existence of solution for the exterior dirichlet problems involving the equation with nearly critical exponent[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2011(2):9-12. |
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| Authors: | GUO Zhu-mei |
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| Institution: | GUO Zhu-mei(Institute of Science,Anhui Science and Technology University,Fengyang 233100,China) |
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| Abstract: | Using variational methods and Hardy inequality,the existence of nontrivial solution to a kind of semilinear elliptic equation with nearly critical exponent is given. |
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| Keywords: | critical exponent variational methods Hardy inequality nontrivial solution |
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