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On the first curve of the Fucik spectrum of an elliptic operator

par Gossez, Jean-Pierre ;De Figueiredo, D.
Référence Differential and integral equations, 7, page (1285-1302)
Publication Publié, 1994

Article révisé par les pairs

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Résumé :

We obtain a variational characterization of the first nontrivial curve in the Fucik spectrum of the Laplacian. We study the asymptotic behavior of this first curve and exhibit a connection with the antimaximum principle. We also obtain a nodal domain theorem for the corresponding eigenfunctions. An application to the study of nonresonance is given. © 1994, Khayyam Publishing.