Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems
Andrzej Szulkin (1986)
Annales de l'I.H.P. Analyse non linéaire
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Andrzej Szulkin (1986)
Annales de l'I.H.P. Analyse non linéaire
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Motreanu, D., Motreanu, V.V., Paşca, D. (2002)
Abstract and Applied Analysis
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Corvellec, J. (1996)
Serdica Mathematical Journal
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The first motivation for this note is to obtain a general version of the following result: let E be a Banach space and f : E → R be a differentiable function, bounded below and satisfying the Palais-Smale condition; then, f is coercive, i.e., f(x) goes to infinity as ||x|| goes to infinity. In recent years, many variants and extensions of this result appeared, see [3], [5], [6], [9], [14], [18], [19] and the references therein. A general result of this type was given in [3, Theorem 5.1]...
Antonio Marino, Claudio Saccon (1997)
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N. Ghoussoub, D. Preiss (1989)
Annales de l'I.H.P. Analyse non linéaire
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