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À propos de : Generic existence result for an eigenvalue problem with rapidly growing principal operator        

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  • Generic existence result for an eigenvalue problem with rapidly growing principal operator
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  • We consider the eigenvalue problem $$ \begin{array}{l} \displaystyle-{\rm div} (a(|bla u |)bla u) = \lambda g(x, u) \;\mbox{ in } \Omega u = 0 \;\mbox{ on } \partial\Omega , end{array} $$ in the case where the principal operator has rapid growth. By using a variational approach, we show that under certain conditions, almost all λ > 0 are eigenvalues.
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  • cocv0425
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  • © EDP Sciences, SMAI, 2004
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  • EDP Sciences, SMAI
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