| 半线性椭圆方程（带临界指数）在R^N上多解的存在性 |
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| 引用本文： | 柳合龙.半线性椭圆方程（带临界指数）在R^N上多解的存在性[J].信阳师范学院学报(自然科学版),1997,10(4):7-11. |
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| 作者姓名： | 柳合龙 |
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| 作者单位： | 信阳师范学院数学系 |
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| 摘 要： | 利用单调迭代法和最大原理，首先得到方程在Ｒ＾Ｎ的一个最小正解，由此解一个新的椭圆方程，利用集中紧原理得出新方程的一个正解，从而得以原方程的第二个正解
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| 关 键 词： | 半线性 椭圆方程 临界指数 最小正解 存在性 |
The Existence in R N of Multiple Postive Solution for Some Semilinear Elliptic Equation with Critical Soboler Exponent |
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| Liu Helong.The Existence in R N of Multiple Postive Solution for Some Semilinear Elliptic Equation with Critical Soboler Exponent[J].Journal of Xinyang Teachers College(Natural Science Edition),1997,10(4):7-11. |
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| Authors: | Liu Helong |
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| Abstract: | R N of multiple positive solution for some semilinear elliptic equation with critical sobolev exponent,using moth of iteration and maximum principle,we conclude a minimal positive solution of the equation.In order to obtain the second solution, we introduce a new equation.Applying"Concentrained-Compactness"principle to the new-equation, we get another positive solution of the equation. |
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| Keywords: | Semilinear elliptic equation Critical soboler exponent Minimal positive solution |
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