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).
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).
Some Properties of Differentiable Functional at Asymptotic Critical Valueon on Banach Space[J]. Journal of South China Normal University (Natural Science Edition), 2012, 44(1).
Citation: Some Properties of Differentiable Functional at Asymptotic Critical Valueon on Banach Space[J]. Journal of South China Normal University (Natural Science Edition), 2012, 44(1).

Banach空间上可微泛函渐近临界值的某些性质

Some Properties of Differentiable Functional at Asymptotic Critical Valueon on Banach Space

  • 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.

     

    Abstract: Some properties of Fr\'echet 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.

     

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