On a nonresonance condition between the first and the second eigenvalues for the p -Laplacian

A. Anane and N. Tsouli

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 26, 1-10

Abstract:

We are concerned with the existence of solution for the Dirichlet problem − Δ p u = f ( x , u ) + h ( x ) in Ω , u = 0 on ∂ Ω , when f ( x , u ) lies in some sense between the first and the second eigenvalues of the p -Laplacian Δ p . Extensions to more general operators which are ( p − 1 ) -homogeneous at infinity are also considered.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:804823

DOI: 10.1155/S0161171201004628

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