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Eigenvalues for the Steklov Problem

A. Anane, O. Chakrone, B. Karim, A. Zerouali


In this paper, we study the existence of the eigenvalues of the Steklov problem with an indefinite weight for the p-Laplacian. We use variational arguments (deformation lemma) to characterize these eigenvalues. We also establish some properties for the first and the second positive eigenvalues. We complete this work by study the nonresonance problem under the first eigenvalue.


Eigenvalue problem; Steklov problem; p-Laplacian; indefinite weight; deforma- tion lemma.

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