Three solutions for a mixed boundary value problem involving the one-dimensional p-Laplacian

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:298

Article

Averna, D ; Salvati, R

关键词: critical points;    three solutions;    mixed boundary value problem;   

DOI  :  10.1016/j.jmaa.2004.05.012

来源: Elsevier

【 摘 要 】

This paper deals with two mixed nonlinear boundary value problerns depending on a parameter lambda For each of them we prove the existence of at least three generalized solutions when lambda 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]. (C) 2004 Elsevier Inc. All rights reserved.

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