Infinitely many solutions of superlinear fourth order boundary value problems

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A CANTILEVER EQUATION WITH NONLINEAR BOUNDARY CONDITIONS (2009, background): “For example, the BCs u(0) = 0, u(1) = 0, u(0) = 0, u(1) = 0, correspond to both ends of the beam being clamped, these have been studied recently in [32, 37, 42, 43, 48]; the BCs u(0) = 0, u(1) = 0, u(0) = 0, u(1) = 0, model a bar with hinged ends and have been studied for example in [5, 7, 9, 12, 14”
Non‐local boundary value problems of arbitrary order (2009, background): “B. P. Rynne, ‘Infinitely many solutions of superlinear fourth order boundary value problems’, Topol.”
Positive fixed points and fourth‐order equations (2009, methodology): “1 in [20] implies the existence for each λ > 0 of infinitely many nonpositive solutions.”