Geodesic
On Functionals Bounded Below
Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 2, pp. 75-80

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In this paper, we prove that the infimum of a functional with a lower bound is a critical value. The novelty is that we do not need the Palais–Smale type condition.
Keywords: lower boundedness, critical point, eigenvalue. 
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     author = {W. Zou and M. Schechter},
     title = {On {Functionals} {Bounded} {Below}},
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W. Zou; M. Schechter. On Functionals Bounded Below. Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 2, pp. 75-80. http://geodesic.mathdoc.fr/item/FAA_2003_37_2_a7/