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When is the first eigenfunction for the clamped plate equation of fixed sign?

It is known that the first eigenfunction of the clamped plate equation, $Delta^2 varphi = lambda varphi$ in $Omega$ with $varphi=frac{partial}{partial n}varphi=0$ on $partialOmega$, is not necessarily of fixed sign. In this article, we survey the relations between domains $Omega$ and the sign of tha...

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Detalles Bibliográficos
Autor Principal: Guido Sweers
Formato: Artigo
Idioma:Inglês
Publicado: Texas State University 2001-01-01
Series:Electronic Journal of Differential Equations
Assuntos:
Acceso en liña:http://ejde.math.txstate.edu/conf-proc/06/s3/abstr.html
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