par Anane, Aomar;Chakrone, Omar;Gossez, Jean-Pierre 
Référence Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, 325, 1, page (33-36)
Publication Publié, 1997-07
Référence Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, 325, 1, page (33-36)
Publication Publié, 1997-07
Article révisé par les pairs
| Résumé : | We introduce a "higher order" spectrum for the Laplacian σ, and more generally for the p-Laplacian Δp. This spectrum is completely characterized in the linear case of the Laplacian. As an application, we study the existence of solution in W1,p0(Ω) of the equation - Δpu = f(x, x, ▽u)+h(x), when the function f satisfies some nonresonance condition with respect to that spectrum. |
