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On a fourth order superlinear elliptic problem

We prove the existence of a nonzero solution for the fourth order elliptic equation $$Delta^2u= mu u +a(x)g(u)$$ with boundary conditions $u=Delta u=0$. Here, $mu$ is a real parameter, $g$ is superlinear both at zero and infinity and $a(x)$ changes sign in $Omega$. The proof uses a variational argum...

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Bibliographic Details
Main Authors: M. Ramos, P. Rodrigues
Format: Artigo
Language:Inglês
Published: Texas State University 2001-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/06/r1/abstr.html
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