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

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.

Keywords

• u-distance
• Palais-Smale condition
• coercivity
• Zhong's variational principle