Non-trivial solutions for nonlinear fourth-order elastic beam equations

The existence of at least one non-trivial solution to a boundary value problem for fourth-order elastic beam equations, under a non-standard growth condition of the nonlinear term, is established. Our approach is based on a local minimum theorem for differentiable functionals.

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Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 62; no. 4; pp. 1862 - 1869
Main Authors Bonanno, Gabriele, Di Bella, Beatrice, O’Regan, Donal
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.08.2011
Subjects
Boundary value problems
Critical points
Elastic beams
Fourth-order equations
Mathematical analysis
Mathematical models
Nonlinearity
Theorems
Fourth-order equations
Critical points
Online AccessGet full text
ISSN0898-1221
1873-7668
DOI10.1016/j.camwa.2011.06.029

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Summary:The existence of at least one non-trivial solution to a boundary value problem for fourth-order elastic beam equations, under a non-standard growth condition of the nonlinear term, is established. Our approach is based on a local minimum theorem for differentiable functionals.
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ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2011.06.029