Abstract
We show a partial version of the Courant nodal domain theorem for the p-Laplacian: any eigenfunction associated to the second eigenvalue has exactly two nodal domains. A similar result is also proved for the Fučik spectrum. Nous obtenons une extension partielle au p-Laplacien du théorème de Courant sur les domaines nodaux : toute fonction propre associée à la seconde valeur propre admet exactement deux domaines nodaux. Un résultat analogue est aussi démontré pour le spectre de Fučik.
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