| 一类拟线性椭圆方程非平凡解的存在性 |
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| 引用本文： | 姚仰新,张瑞敏,王荣鑫.一类拟线性椭圆方程非平凡解的存在性[J].华南理工大学学报(自然科学版),2007,35(8):114-117. |
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| 作者姓名： | 姚仰新 张瑞敏 王荣鑫 |
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| 作者单位： | 华南理工大学,数学科学学院,广东,广州,510640 |
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| 基金项目： | 国家自然科学基金
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广东省自然科学基金 |
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| 摘 要： | 使用Hardy不等式和山路几何研究了一类拟线性椭圆问题非平凡解的存在性.由于难以得到所讨论的问题的基本解,因此研究中对基本解进行了估计,并证明了(PS)c条件.
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| 关 键 词： | 拟线性椭圆方程 非平凡解 存在性 (PS)c条件 山路几何 Hardy不等式 |
| 文章编号： | 1000-565X（2007）08-0114-04 |
| 修稿时间： | 2006-07-12 |
Existence of Nontrivial Solution to a Class of Quasi-linear Elliptic Equation |
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| Yao Yang-xin,Zhang Rui-min,Wang Rong-xin.Existence of Nontrivial Solution to a Class of Quasi-linear Elliptic Equation[J].Journal of South China University of Technology(Natural Science Edition),2007,35(8):114-117. |
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| Authors: | Yao Yang-xin Zhang Rui-min Wang Rong-xin |
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| Affiliation: | School of Mathematical Science, South China Univ. of Tech. , Guangzhou 510640, Guangdong, China |
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| Abstract: | In this paper,the existence of the nontrivial solution to a class of quasi-linear elliptic problem is investigated based on the Hardy inequality and the Mountain Pass Geometry.As the basic solution to the discussed problem is difficult to obtain,an estimation of the basic solution is carried out and the corresponding(PS)c condition is proved. |
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| Keywords: | quasi-linear elliptic equation nontrivial solution existence (PS)c condition Mountain Pass Geometry Hardy inequality |
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