Infinitely Many Solutions of The Neumann Problem for Elliptic Equations 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].”
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]).”
Three solutions to a Neumann problem for elliptic equations involving the p-Laplacian (2003, result): “We are interested in the existence of weak solutions to a such problem when p>n .In this setting, we refer to the very recent result [ 6 ] of B. Ricceri, where infinitely many weak solutions to (1), with λ = 1, were obtained via a multiplicity result for critical points [7, Theorem 2.5], and we cite”