Three solutions for a mixed boundary value problem involving the one-dimensional p-Laplacian |
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| Authors: | Diego Averna Roberta Salvati |
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| Affiliation: | a Dipartimento di Matematica ed Applicazioni, Università di Palermo, Via Archirafi 34, 90123 Palermo, Italy
b CECUM “A. Villari,” Università di Messina, Piazza G. Pugliatti 1, 98100 Messina, Italy |
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| Abstract: | This paper deals with two mixed nonlinear boundary value problems depending on a parameter λ. For each of them we prove the existence of at least three generalized solutions when λ lies in an exactly determined open interval. Usefulness of this information on the interval is then emphasized by means of some consequences. Our main tool is a very recent three critical points theorem stated in [Topol. Methods Nonlinear Anal. 22 (2003) 93-104]. |
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| Keywords: | Critical points Three solutions Mixed boundary value problem |
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