R. El Amrouss, A., Critical Point Theorems and Applications to Differential Equations, Acta mathematica Sinica. English series (Print) , 21(1), 2004, pp. 129-142
This paper contains a generalization of the wellknown PalaisSmale and Cerami compactness conditions. The compactness condition introduced is used to prove some general existence theorems for critical points. Some applications are given to differential equations.