ملخص: ResumeOn introduit un spectre dit > pour le laplacien [Delta], et plus generalement pour le p-laplacien [Delta]p. Nous caracterisons completement ce spectre dans le cas du laplacien. Comme application, nous etudions l'existence de solution dans w01, p([omega]) de l'equation -[Delta]pu = [function of (italic small f)](x, u, [big down triangle, open]u)h(x), lorsque la fonction [function of (italic small f)] satisfait des conditions de non-resonance par rapport a ce spectre.AbstractWe introduce a "higher order" spectrum for the Laplacian [Delta], and more generally for the p-Laplacian [Delta]p. This spectrum is completely characterized in the linear case of the Laplacian. As an application, we study the existence of solution in w01, p([omega]) of the equation -[Delta]pu = [function of (italic small f)](x, u, [big down triangle, open]u)h(x), when the function [function of (italic small f)] satisfies some nonresonance condition with respect to that spectrum.

لغة: فرنسية