Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 160, pp. 1-12.

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

Author: Georgiana Goga (Nicolae Rotaru College, Constanta, Romania)

Abstract:
 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.