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].
AVERNA D, SALVATI R (2004). Three solutions for a mixed boundary value problem involving the one-dimensional p-Laplacian. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 298, 245-260.
Three solutions for a mixed boundary value problem involving the one-dimensional p-Laplacian
AVERNA, Diego;
2004-01-01
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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