Existence of periodic solution for a class of beam equation via variational methods

In this paper we study the existence of periodic solution for a class of beam equation via variational methods. The main difficulty is associated with the fact that the energy functional is strongly indefinite and it is not well defined in the natural space to apply variational methods.

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Bibliographic Details
Published inMonatshefte für Mathematik Vol. 197; no. 2; pp. 227 - 256
Main Authors Alves, Claudianor O., de Araújo, Bruno S. V., Nóbrega, Alânnio B.
Format Journal Article
LanguageEnglish
Published Vienna Springer Vienna 01.02.2022
Springer Nature B.V
Subjects
Mathematics
Mathematics and Statistics
Variational methods
Hyperbolic equations
Variational methods
35A15
Periodic solutions
Primary 35L35
Secondary 35B10
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Summary:In this paper we study the existence of periodic solution for a class of beam equation via variational methods. The main difficulty is associated with the fact that the energy functional is strongly indefinite and it is not well defined in the natural space to apply variational methods.
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-021-01583-z