Two positive solutions for nonlinear fourth-order elastic beam equations

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 r...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: D’Aguì Giuseppina
Bella Beatrica Di
Winkert Patrick
Dokumentumtípus: Folyóirat
Megjelent: 2019
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet - elliptikus - határérték probléma, Banach-tér
doi:10.14232/ejqtde.2019.1.37

Online Access:http://acta.bibl.u-szeged.hu/62115
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520 3 |a 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. 
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700 0 1 |a Winkert Patrick  |e aut 
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