| 一类半线性椭圆型方程组非平凡解的存在性 |
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| 引用本文： | 彭超权,王 芳,刘 颖. 一类半线性椭圆型方程组非平凡解的存在性[J]. 中南民族大学学报(自然科学版), 2014, 0(4): 110-112 |
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| 作者姓名： | 彭超权 王 芳 刘 颖 |
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| 作者单位： | 中南民族大学 数学与统计学学院，武汉430074 |
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| 基金项目： | 中南民族大学研究生创新基金资助项目(2014sycxjj126);中南民族大学中央高校基本科研业务费专项资金资助项目(CZY12013) |
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| 摘 要： | 研究了一类带参数的、非线性项不满足AR条件的椭圆型方程组,利用山路定理,证明了在一定条件下,方程组非平凡解的存在性.
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| 关 键 词： | 方程组 山路定理 非平凡解 |
The Existence of Nontrivial Solutions for a Class of Semilinear Elliptic System |
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| Peng Chaoquan;Wang Fang;Liu Ying. The Existence of Nontrivial Solutions for a Class of Semilinear Elliptic System[J]. Journal of South-Central Univ for, 2014, 0(4): 110-112 |
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| Authors: | Peng Chaoquan Wang Fang Liu Ying |
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| Affiliation: | Peng Chaoquan;Wang Fang;Liu Ying;College of Mathematics and Statistics,South-Central University for Nationalities; |
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| Abstract: | In this paper, a class of elliptic system is studied.It involves parameters, and it′s nonlinear term do not satisfy AR condition.By using the Mountain Pass Theorem, the existence of nontrivial solutions to the system is proved under some conditions. |
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| Keywords: | system Mountain Pass theorem nontrivial solution |
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