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

Gabriele Bonanno; Beatrice Di Bella; Donal O'Regan

doi:10.1016/j.camwa.2011.06.029

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

Gabriele Bonanno
, Beatrice Di Bella
, Donal O'Regan

Mathematics

Dipartimento DIMED

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

53 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1862-1869
Number of pages	8
Journal	Computers and Mathematics with Applications
Volume	62
Issue number	4
DOIs	https://doi.org/10.1016/j.camwa.2011.06.029
Publication status	Published - Aug 2011

Keywords

Critical points
Fourth-order equations

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10.1016/j.camwa.2011.06.029

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title = "Non-trivial solutions for nonlinear fourth-order elastic beam equations",

abstract = "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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AU - Di Bella, Beatrice

AU - O'Regan, Donal

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N2 - 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.

AB - 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.

KW - Critical points

KW - Fourth-order equations

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DO - 10.1016/j.camwa.2011.06.029

M3 - Article

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JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 4

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

Abstract

Keywords

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