| 群作用不变泛函的渐近临界点定理 |
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| 引用本文： | 熊彦,耿堤.群作用不变泛函的渐近临界点定理[J].华南师范大学学报(自然科学版),2007,1(3):0-0. |
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| 作者姓名： | 熊彦 耿堤 |
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| 作者单位： | 1. 华南师范大学数学科学学院,广东广州,510631;佛山科技学院数学系,广东佛山,528000
2. 华南师范大学数学科学学院,广东广州,510631 |
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| 基金项目： | 国家自然科学基金
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广东省自然科学基金 |
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| 摘 要： | 运用一般形式的Ekeland变分原理, 证明了具有群作用不变泛函的渐近临界值定理. 进而给出了广义的喷泉定理.
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| 关 键 词： | 群作用泛函 渐近临界值定理 广义喷泉定理 |
| 文章编号： | 1000-5463（2007）03-0037-05 |
| 修稿时间： | 2006-06-28 |
ON AN ASYMPTOTIC CRITICAL POINT THEOREM OF INVARIANT FUNCTIONAL OF GROUP ACTING AND ITS APPLICATION |
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| XIONG Yan,GENG Di.ON AN ASYMPTOTIC CRITICAL POINT THEOREM OF INVARIANT FUNCTIONAL OF GROUP ACTING AND ITS APPLICATION[J].Journal of South China Normal University(Natural Science Edition),2007,1(3):0-0. |
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| Authors: | XIONG Yan GENG Di |
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| Institution: | 1. School of Mathematics, South China Normal University, Guangzhou 510631, China; 2. Department of Mathematics, Foshan University, Foshan, Guangdong 528000, China |
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| Abstract: | n this paper, an asymptotic critical point theorem of invariant functional of
group acting is proved with a generalized Ekeland’s Princple. From which, a generalized
fountain theorem is presented. |
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| Keywords: | invariant functional of group fountain theorem action asymptotic critical point generalized |
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