Sunto
Si prova l'esistenza di punti critici di funzionali che non verificano la condizione (PS).I teoremi astratti vengono applicati per trovare soluzioni periodiche di sistemi dinamici con potenziali sia limitati sia con singolarità.
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This work has been done during a visit at the Math. Dept. of the University of Chicago. The Authors whish to thank for the kind hospitality.
Supported by Ministero Pubblica Istruzione, 40%, Gruppo Nazionale «Calcolo delle Variazioni».
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Ambrosetti, A., Zelati, V.C. Critical points with lack of compactness and singular dynamical systems. Annali di Matematica pura ed applicata 149, 237–259 (1987). https://doi.org/10.1007/BF01773936
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DOI: https://doi.org/10.1007/BF01773936