A minimax inequality and its applications to ordinary differential equations |
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| Authors: | Gabriele Bonanno |
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| Affiliation: | Dipartimento di Informatica, Matematica, Elettronica e Trasporti, Facoltà di Ingegneria, Università di Reggio Calabria, via Graziella (Feo di Vito), 89100 Reggio Calabria, Italy |
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| Abstract: | The aim of this paper is to investigate the minimax inequality which plays a fundamental role in the critical points theorem of B. Ricceri below. Equivalent formulations are shown, and characterization is proved in particular for a special class of functionals. As an application, a multiplicity result for an ordinary Dirichlet problem is emphasized. |
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| Keywords: | Minimax inequality Minimax equality Critical point Three solutions Multiplicity results Two point boundary value problem Eigenvalue problem |
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