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

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Journal of South China Normal University (Natural Science Edition) > 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).

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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).

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

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Received Date: April 21, 2011
Revised Date: October 30, 2011

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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.
- Ekeland variational principle,
- asymptotic critical value,
- Palais-Smalecondition,
- coerciveness of functional.

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

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