6533b7cefe1ef96bd1257c01
RESEARCH PRODUCT
Three solutions for a mixed boundary value problem involving the one-dimensional p-Laplacian
Roberta SalvatiDiego Avernasubject
Mixed boundary value problemApplied MathematicsMathematical analysisCritical pointsCritical point (mathematics)Nonlinear systemThree solutionsp-LaplacianApplied mathematicsBoundary value problemNonlinear boundary value problemOpen intervalAnalysisMathematicsdescription
AbstractThis 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].
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2004-10-01 |