| 一类半线性椭圆型方程组正解的存在性 |
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| 引用本文： | 郭伟香,杨燕君,张亚静.一类半线性椭圆型方程组正解的存在性[J].云南民族大学学报(自然科学版),2019(1):46-53. |
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| 作者姓名： | 郭伟香 杨燕君 张亚静 |
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| 作者单位： | 山西大学数学科学学院 |
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| 摘 要： | 主要研究一类半线性椭圆型方程组正解的存在性.利用变分法将椭圆型方程组解的问题转化为相应能量泛函的临界点问题,进一步证明了方程组能量泛函临界点的存在性.
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| 关 键 词： | 变分法 Nehari流形 上下解方法 正解 |
Existence of positive solutions for a class of semilinear elliptic systems |
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| Institution: | ,School of Mathematical Sciences,Shanxi University |
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| Abstract: | This paper mainly studies the existence of positive solutions for a class of semilinear elliptic systems. By using the variational method,the problem of solving elliptic equations is transformed into the critical point problem of the corresponding energy functional,and the existence of the critical point of the energy functional of the equations is further proved. |
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| Keywords: | variational method Nehari manifold upper and lower solution method positive solution |
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