The dual variational principle and equilibria for a beam resting on a discontinuous nonlinear elastic foundation (Q1567528)
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scientific article; zbMATH DE number 1462153
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The dual variational principle and equilibria for a beam resting on a discontinuous nonlinear elastic foundation |
scientific article; zbMATH DE number 1462153 |
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The dual variational principle and equilibria for a beam resting on a discontinuous nonlinear elastic foundation (English)
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9 May 2001
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The author investigates sufficient conditions for the existence of solutions to equations of the form \[ u'''' + g(u(x)) = 0,u''(0)=-f(-u'(0)),u'''(0)=-h(u(0)),u''(1)=0,u'''(1)=0. \] The main assumption is that \(g\) is discontinuous at a point. And the method is Clarke's dual action principle following the idea of \textit{A. Ambrosetti} and \textit{M. Badiale} [J. Math. Anal. Appl. 140, No. 2, 363-373 (1989; Zbl 0687.35033)].
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nonlinear boundary value problems
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variational methods
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dual action principle
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discontinuous nonlinearities
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