Infinitely Many Critical Points of Non-Differentiable Functions and Applications to a Neumann-Type Problem Involving the p-Laplacian

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Existence of three nontrivial solutions for nonlinear Neumann hemivariational inequalities (2009, background): “Among others, we mention the works of Anello [2], Barletta–Papageorgiou [3], Binding–Drabek–Huang [4], Bonanno–Candito [5], Cammaroto–Chinnì–Di Bella [7], Faraci [12], Filippakis–Gasiński–Papageorgiou [13], Marano–Motreanu [20], Motreanu–Papageorgiou [22], Ricceri [25] and Wu–Tan [28].”
Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities (2008, background): “Motreanu ([29] and [30]) have established multiple critical points theorems, which extend the results previously obtained by B.”
Sublevel sets and global minima of coercive functionals and local minima of their perturbations (2004, methodology): “The variational principle of [24] has already been widely applied to nonlinear differential equations and Hammerstein integral equations as well (see, for instance, [1]-[6], [8]-[16], [18], [20], [25]-[28]).”