A critical point theorem via the Ekeland variational principle

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Existence and multiplicity of weak solutions for elliptic Dirichlet problems with variable exponent (2014, methodology): “1 of [1]).”
Relations between the mountain pass theorem and local minima (2012, background): “From [2], we say that functional I verifies the Palais–Smale condition cut off lower at r1 and upper at r2 (in short the Œr1(PS)2-condition) if any sequence 1uno such that ( ̨), (ˇ) and ( ) r1 < ˆ.”
Variational Methods on Finite Dimensional Banach Spaces and Discrete Problems (2014, methodology): “In this paper, again in the framework of variational methods, we use a local minimum theorem established in [4] (see [4, Theorem 3.”