Two positive solutions for nonlinear fourth-order elastic beam equations

D’Aguì, Giuseppina and Bella, Beatrica Di and Winkert, Patrick: Two positive solutions for nonlinear fourth-order elastic beam equations. In: Electronic journal of qualitative theory of differential equations 37. pp. 1-12. (2019)

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Abstract

The aim of this paper is to study the existence of at least two non-trivial solutions to a boundary value problem for fourth-order elastic beam equations given by u (4) + Au00 + Bu = λ f(x, u) in [0, 1], u(0) = u(1) = 0, u 00(0) = u 00(1) = 0, under suitable conditions on the nonlinear term on the right hand side. Our approach is based on variational methods, and in particular, on an abstract two critical points theorem given for differentiable functionals defined on a real Banach space.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 37
ISSN: 1417-3875
Page Range: pp. 1-12
DOI: https://doi.org/10.14232/ejqtde.2019.1.37
Uncontrolled Keywords: Differenciálegyenlet - elliptikus - határérték probléma, Banach-tér
Additional Information: Bibliogr.: p. 10-12. ; összefoglalás angol nyelven
Date Deposited: 2019. Sep. 27. 13:07
Last Modified: 2019. Sep. 27. 13:26
URI: http://acta.bibl.u-szeged.hu/id/eprint/62115

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