| 渐进二次泛函在无穷远处的临界群 |
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| 引用本文： | 梁志刚,刘轼波.渐进二次泛函在无穷远处的临界群[J].应用泛函分析学报,2003,5(3):213-216. |
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| 作者姓名： | 梁志刚 刘轼波 |
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| 作者单位： | 中国科学院数学与系统科学研究院数学研究所,北京,100080 |
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| 基金项目： | Supported by National Natural Science Foundation of China(10 10 10 2 6 )，Natural ScienceFoundation of Beijing (10 2 2 0 0 3) |
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| 摘 要： | 在Bartsch-Li建立的在无穷远处的分裂定理的基础上，证明一个关于渐近二次泛函在无穷远处的临界群的计算的结果，它类似于泛函在孤立临界点处的临界群的相应结果。
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| 关 键 词： | 渐进二次泛函 临界群 Morse指标 分裂定理 |
Critical Groups at Infinity for Asymptotically Quadratic Functionals |
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| LIANG Zhi-gang,LIU Shi-bo.Critical Groups at Infinity for Asymptotically Quadratic Functionals[J].Acta Analysis Functionalis Applicata,2003,5(3):213-216. |
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| Authors: | LIANG Zhi-gang LIU Shi-bo |
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| Abstract: | Base on the spliting theorem near infinity (due to Bartsch-Li), we prove a new result concerning on the computation of the critical group at infinity of asymptotically quadratic functionals, which is similar to the corresponding results for the critical groups at isolated critical points. |
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| Keywords: | morse index critical groups asymptotically quadratic functional |
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