An existence result for a critical point of mountain-pass type, where the classical Palais-Smale condition is not required, is presented. A multiple-critical-point result is then obtained As an application, the existence of two positive classical solutions for two-point boundary-value problems, without assuming any asymptotic condition on the nonlinearity, is obtained.
A VARIANT OF THE MOUNTAIN-PASS THEOREM
BONANNO, Gabriele;D'AGUI', GIUSEPPINA
2013-01-01
Abstract
An existence result for a critical point of mountain-pass type, where the classical Palais-Smale condition is not required, is presented. A multiple-critical-point result is then obtained As an application, the existence of two positive classical solutions for two-point boundary-value problems, without assuming any asymptotic condition on the nonlinearity, is obtained.File in questo prodotto:
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