| 半线性椭圆方程基态解的渐近行为 |
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| 引用本文： | 宋爱丽. 半线性椭圆方程基态解的渐近行为[J]. 江汉大学学报(自然科学版), 2010, 38(3): 10-12 |
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| 作者姓名： | 宋爱丽 |
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| 作者单位： | 喀什师范学院,数学系,新疆,喀什,844007 |
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| 摘 要： | 在假设全空间上半线性椭圆方程-△u=f(u)的基态解存在的前提条件下,研究了该方程的基态解在无穷远处的指数衰减性质,并给出了具体的渐近展开公式.
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| 关 键 词： | 半线性椭圆方程 基态解 渐近行为 |
Asymptotic Behavior of Ground State Solutions for Semilinear Elliptic Equations |
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| SONG Ai-li. Asymptotic Behavior of Ground State Solutions for Semilinear Elliptic Equations[J]. Journal of Jianghan University(Natural Sciences), 2010, 38(3): 10-12 |
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| Authors: | SONG Ai-li |
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| Affiliation: | SONG Ai-li (Department of Mathematics,Kashi Normal college,Kashi,Xinjiang,844007) |
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| Abstract: | Based on the assumption that ground state solutions for the semilinear elliptic equation u= f u exist in the whole space RN, this paper studies the exponential decay properties of the ground state solutions, and provides the asymtotic expansion formula. |
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| Keywords: | semilinear elliptic equation ground state solution asymptotic behavior |
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