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摘要
This paper introduces a notion of linear perturbed Palais-Smale condition for real-valued functions on Banach spaces. In terms of strongly exposed points, it presents a characterization which guarantees linear perturbed Palais-Smale condition holds for lower semicontinuous functions with bounded effective domains defined on a Banach space with the Radon-Nikodym property; and gives an example showing that linear perturbed P-S condition is strictly weaker than the P-S condition.
- 出版日期2008-11
- 单位厦门大学
