Revista Colombiana de Matemáticas
versão impressa ISSN 0034-7426
EL AMROUSS, Abdel Rachid. VARIANTES DU PRINCIPE VARIATIONNEL D'EKELAND ET APPLICATIONS. Rev.colomb.mat. [online]. 2006, vol.40, n.1, pp. 1-14. ISSN 0034-7426.
In this note, we establish a variant of Ekeland's variational principle. This result suggests a generalization of the classical Palais-Smale condition. An example is provided showing how this is used to give the existence of a minimizer for functionals which do not satisfy the Palais-Smale condition and the one introduced by Cerami. We also prove a relation between the coercitivity of functional and the introduced compactness condition.
Palavras-chave : Ekeland's principle variational; Palais-Smale condition.