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| Banach空间上可微泛函渐近临界值的某些性质 | |
| 引用本文： | 薛亚芬,耿堤. Banach空间上可微泛函渐近临界值的某些性质[J]. 华南师范大学学报(自然科学版), 2012, 44(1): 39-0 |
| 作者姓名： | 薛亚芬 耿堤 |
| 作者单位： | 1.华南师范大学数学科学学院 |
| 基金项目： | 国家自然科学基金项目(10371045);广东省自然科学基金项目(5005930) |
| 摘 要： | 用Ekeland渐近变分原理证明了Banach空间上连续可微泛函渐近临界值的某些性质, 推广了有关强制性的结果. |
| 关 键 词： | Ekeland变分原理 泛函的渐近临界值 Palais-Smale条件 强制性. |
| 收稿时间： | 2011-04-22 |
Some Properties of Differentiable Functional at Asymptotic Critical Value on Banach Space |
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| XUE Yafen,GENG Di. Some Properties of Differentiable Functional at Asymptotic Critical Value on Banach Space[J]. Journal of South China Normal University(Natural Science Edition), 2012, 44(1): 39-0 | |
| Authors: | XUE Yafen GENG Di |
| Affiliation: | (School of Mathematics,South China Normal University,Guangzhou 510631,China) |
| Abstract: | Some properties of Fréchet differentiable functional at asymptotic critical value on Banach space are shown in the present paper,which can be applied to generalize the relation between coerciveness of the functional and Palais-Smale condition. |
| Keywords: | Ekeland variational principle asymptotic critical value Palais-Smale condition coerciveness of functional |
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