| 一类拟线性椭圆方程非平凡解的估计 |
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| 引用本文： | 张瑞敏.一类拟线性椭圆方程非平凡解的估计[J].内蒙古师范大学学报(自然科学版),2011(4). |
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| 作者姓名： | 张瑞敏 |
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| 作者单位： | 北京理工大学珠海学院; |
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| 基金项目： | 国家自然科学基金资助项目(10471047); 广东省自然科学基金资助项目(04020077) |
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| 摘 要： | 研究了一类包含临界指数的椭圆问题.利用山路引理证明了拟线性椭圆方程非平凡解的存在性,并给出这个非平凡解的一个估计.
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| 关 键 词： | 非平凡解 Hardy不等式 拟线性椭圆方程 集中紧 临界指数 |
Estimate of Nontrivial Solution for a Class of Quasilinear Elliptic Equation |
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| ZHANG Rui-min.Estimate of Nontrivial Solution for a Class of Quasilinear Elliptic Equation[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2011(4). |
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| Authors: | ZHANG Rui-min |
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| Institution: | ZHANG Rui-min(Zhuhai Campus,Beijing University of Technology,Zhuhai 519085,Guangdong,China) |
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| Abstract: | In this paper,an elliptic equation involving the critical exponent is discussed.The existence of nontrivial solution for an elliptic equation is proved by virtue of mountion pass theorem.On the other hand,an estimate of a nontrivial solution is given,which plays an important role in the study of elliptic problems with critical Sobolev-Hardy exponents. |
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| Keywords: | nontrivial solution Hardy inequality quasi-linear elliptic equation concentration-compactness critical exponent |
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