Multiplicity Results for a Kirchho-type Doubly Eigenvalue Boundary Value Problem

Volume 3, Issue 1, pp 11--20 http://dx.doi.org/10.22436/jmcs.03.01.02

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Authors

S. Heidarkhani - Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran G. A. Afrouzi - Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, 47416-1467 Babolsar, Iran

Abstract

This paper is concerned with the existence of at least three weak solutions to a class of Kirchhoff-type doubly eigenvalue boundary value problem. The technical approach is mainly based on a very recent three critical points theorem due to B. Ricceri [On a three critical points theorem revisited, Nonlinear Anal., 70 (2009) 3084-3089.]

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Keywords

• Kirchhoff-type problem
• Critical point
• Three solutions
• Variational methods.

MSC

•  35K20
•  49R05

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