Electron. J. Diff. Equ., Vol. 2011 (2011), No. 160, pp. 1-12.

Ume's u-distance and its relation with both (PS)-condition and coercivity

Georgiana Goga

In this article, we study the connection between the u-distance and a new Palais-Smale condition of compactness. We compare this Palais-Smale condition with the coercivity.

Submitted August 15, 2011. Published November 30, 2011.
Math Subject Classifications: 49K27, 54E35, 54E50, 58E30.
Key Words: u-distance; Palais-Smale condition; coercivity; Zhong's variational principle.

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Georgiana Goga
Nicolae Rotaru College
2, Ion Corvin St.
Constanta, Romania
email: georgia_goga@yahoo.com

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