The main purpose of this paper is to establish a three critical points result without assuming coercivity of the involved functional. To this end, a mountain-pass theorem, where the usual Palais-Smale condition is not requested, is presented. These results are then applied to prove the existence of three solutions for a two-point boundary value problem with no asymptotic conditions.
A Mountain Pass Theorem For A Suitable Class Of Functions
BONANNO, Gabriele
2009-01-01
Abstract
The main purpose of this paper is to establish a three critical points result without assuming coercivity of the involved functional. To this end, a mountain-pass theorem, where the usual Palais-Smale condition is not requested, is presented. These results are then applied to prove the existence of three solutions for a two-point boundary value problem with no asymptotic conditions.File in questo prodotto:
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