| 关于半线性椭圆型方程和方程组的研究 |
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| 作者姓名： | 韩丕功 |
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| 作者单位： | 中国科学院数学与系统科学研究院，北京100190 |
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| 摘 要： | 研究半线性椭圆型方程和方程组。利用临界点理论和现代偏微分方程方法，对非线性椭圆型方程解的存在性、多解性和渐近性，得到了一系列有趣的结果。特别低，解决和部分解决了半线性椭圆方程中的2个公开问题。
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| 关 键 词： | 半线性椭圆型方程 临界点 Hardy奇异项 Palais-Smale序列 |
On semilinear elliptic equations and systems |
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| Authors: | Han Pi-Gong |
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| Institution: | Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China |
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| Abstract: | In this paper, we focus on semilinear elliptic equations and systems. Using the critical point theory and the modern PDE methods, we obtained a series of interesting results on the existence, multiplicity and the asymptotic behavior of solutions for nonlinear elliptic equations. In particular, we solved or partially solved two open problems in semilinear elliptic equations. |
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| Keywords: | semilinear elliptic equation critical point Hardy singluar term Palais-Smale sequence |
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