A multiplicity result for a perturbation of a symmetric dirichlet problem

In this article we deal with the existence of at least three distinct weak solutions for the following Dirichlet problem where is a bounded open set with sufficiently smooth boundary are Carthéodory functions with f(x, ·) odd for a.e. x ∈ Ω. Our main result assures that, for any neighborhood of zero...

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Bibliographic Details
Published inApplicable analysis Vol. 83; no. 8; pp. 799 - 806
Main Author Cordaro, Giuseppe
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.08.2004
Subjects
Mathematics Subject Classification : 35J20
Odd nonlinearity
Symmetric Dirichlet problem
Weak solution
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ISSN0003-6811
1563-504X
DOI10.1080/00036810410001689256

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Summary:In this article we deal with the existence of at least three distinct weak solutions for the following Dirichlet problem where is a bounded open set with sufficiently smooth boundary are Carthéodory functions with f(x, ·) odd for a.e. x ∈ Ω. Our main result assures that, for any neighborhood of zero , there exist an open interval and a positive real number ρ such that, for each λ ∈ J, the problem above has at least three weak solutions whose norms in are less than ρ.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0003-6811
1563-504X
DOI:10.1080/00036810410001689256