On the Second Deformation Lemma

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Existence of three nontrivial solutions for nonlinear Neumann hemivariational inequalities (2009, methodology): “We also use the nonsmooth version of the second deformation theorem due to Corvellec [11] and a recent result of Barletta–Papageorgiou [3] relating the Hölder and Sobolev local minimizer of a locally Lipschitz integral functional, which we extend here to all p > 1 (in [3] it is assumed that p ≥ 2).”
Existence of five nonzero solutions with exact sign for A p-laplacian equation (2009, methodology): “In particular, if X is a Banach space and φ : X → R is continuous, one can define the set K c = {x ∈ X : |dφ|(x) = 0, φ(x) = c}, where |dφ|(x) denotes the weak slope of φ at x, see [14].”
On Clark's theorem and its applications to partially sublinear problems (2015, unknown): “, [5, 7, 8, 9]) developed over the years which may apply to our situation.”
Multiple Solutions for Nonlinear Coercive Problems with a Nonhomogeneous Differential Operator and a Nonsmooth Potential (2012, background): “The next result is due to Corvellec [10] and it is the nonsmooth counterpart of the so called second deformation theorem (see Gasiński-Papageorgiou [19, p. 628]).”