Infinitely many solutions for a fourth-order elastic beam equation

Existence results of infinitely many solutions for a fourth-order nonlinear boundary value problem are established. No symmetric condition on the nonlinear term is assumed. The main tool is an infinitely many critical points theorem.

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Bibliographic Details
Published inNonlinear differential equations and applications Vol. 18; no. 3; pp. 357 - 368
Main Authors Bonanno, Gabriele, Di Bella, Beatrice
Format Journal Article
LanguageEnglish
Published Basel SP Birkhäuser Verlag Basel 01.06.2011
Subjects
Analysis
Mathematics
Mathematics and Statistics
Infinitely many solutions
Fourth-order equations
34B15
58E05
Critical points
Online AccessGet full text
ISSN1021-9722
1420-9004
DOI10.1007/s00030-011-0099-0

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Summary:Existence results of infinitely many solutions for a fourth-order nonlinear boundary value problem are established. No symmetric condition on the nonlinear term is assumed. The main tool is an infinitely many critical points theorem.
ISSN:1021-9722
1420-9004
DOI:10.1007/s00030-011-0099-0