Nonlinear Differential Equations and Applications NoDEA

, Volume 18, Issue 3, pp 357–368

Infinitely many solutions for a fourth-order elastic beam equation


DOI: 10.1007/s00030-011-0099-0

Cite this article as:
Bonanno, G. & Di Bella, B. Nonlinear Differ. Equ. Appl. (2011) 18: 357. doi:10.1007/s00030-011-0099-0


Existence results of infinitely many solutions for a fourth-order nonlinear boundary value problem are established. No symmetric condition on the nonlinear term is assumed. The main tool is an infinitely many critical points theorem.

Mathematics Subject Classification (2000)



Fourth-order equationsCritical pointsInfinitely many solutions
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© Springer Basel AG 2011

Authors and Affiliations

  1. 1.Department of Science for Engineering and Architecture (Mathematics Section), Engineering FacultyUniversity of MessinaMessinaItaly