%0 Journal Article %T Multiplicity Results for a Kirchho-type Doubly Eigenvalue Boundary Value Problem %A Heidarkhani, S. %A Afrouzi, G. A. %J Journal of Mathematics and Computer Science %D 2011 %V 3 %N 1 %@ ISSN 2008-949X %F Heidarkhani2011 %X 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.] %9 journal article %R 10.22436/jmcs.03.01.02 %U http://dx.doi.org/10.22436/jmcs.03.01.02 %P 11--20 %0 Journal Article %T Three solutions for a quasilinear boundary value problem %A G. A. Afrouzi %A S. Heidarkhani %J Nonlinear Anal. %D 2008 %V 69 %F Afrouzi2008 %0 Journal Article %T Positive solutions for a quasilinear elliptic equations of Kirchhoff type %A C. O. Alves %A F. CorrĂȘa %A T. F. Ma %J Comput. Math. Appl. %D 2005 %V 49 %F Alves2005 %0 Journal Article %T Some remarks on a three critical points theorem %A G. Bonanno %J Nonlinear Anal. %D 2003 %V 54 %F Bonanno2003 %0 Journal Article %T Existence of three solutions for a two point boundary value problem %A G. Bonannao %J Appl. Math. Lett. %D 2000 %V 13 %F Bonannao2000 %0 Journal Article %T Existence of three solutions for a nonautonomous two point boundary value problem %A P. Candito %J J. Math. Anal. Appl. %D 2000 %V 252 %F Candito2000 %0 Journal Article %T Some remarks on non local elliptic and parabolic problems %A M. Chipot %A B. Lovat %J Nonlinear Anal. %D 1997 %V 30 %F Chipot1997 %0 Journal Article %T Infinitely many positive solutions for Kirchhoff-type problems %A X. He %A W. Zou %J Nonlinear Anal. %D 2009 %V 70 %F He2009 %0 Journal Article %T Multiplicity results for a two-point boundary value problem %A S. Heidarkhani %A D. Motreanu %J Panamer. Math. J. %D 2009 %V 19 %F Heidarkhani2009 %0 Journal Article %T Existence of three solutions for a quasilinear two point boundary value problem %A R. Livrea %J Arch. Math. %D 2002 %V 79 %F Livrea2002 %0 Journal Article %T Remarks on an elliptic equation of Kirchhoff type %A T. F. Ma %J Nonlinear Anal. %D 2005 %V 63 %F Ma2005 %0 Journal Article %T On a three critical points theorem for non- differentiable functions and applications nonlinear boundary value problems %A S. A. Marano %A D. Motreanu %J Nonlinear Anal. %D 2002 %V 48 %F Marano2002 %0 Journal Article %T Sign-changing and multiple solutions of Kirchhoff type prob- lems without the P.S. condition %A A. Mao %A Z. Zhang %J Nonlinear Anal. %D 2009 %V 70 %F Mao2009 %0 Journal Article %T Nontrivial solutions of Kirchhoff-type problems via the Yang index %A K. Perera %A Z. Zhang %J J. Differential Equations %D 2006 %V 221 %F Perera2006 %0 Journal Article %T A further three critical points theorem %A B. Ricceri %J Nonlinear Anal. %D 2009 %V 71 %F Ricceri 2009 %0 Journal Article %T A three critical points theorem revisited %A B. Ricceri %J Nonlinear Anal. %D 2009 %V 70 %F Ricceri2009 %0 Journal Article %T On a three critical points theorem %A B. Ricceri %J Arch. Math. %D 2000 %V 75 %F Ricceri2000 %0 Journal Article %T On an elliptic Kirchhoff-type problem depending on two parameters %A B. Ricceri %J J. Global Optimization %D 2010 %V 46 %F Ricceri2010 %0 Book %T Nonlinear functional analysis and its applications %A E. Zeidler %D 1985 %I Springer-Verlag %C New York %F Zeidler1985 %0 Journal Article %T Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow %A Z. Zhang %A K. Perera %J J. Math. Anal. Appl. %D 2006 %V 317 %F Zhang2006