On a nonresonance condition between the first and the second eigenvalues for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$p$"><mml:mi>p</mml:mi></mml:math>-Laplacian

Aomar Anane, Najib Tsouli

Type: Article

Publication Date: 2001-01-01

Citations: 8

DOI: https://doi.org/10.1155/s0161171201004628

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.

Locations

International Journal of Mathematics and Mathematical Sciences - View - PDF
DOAJ (DOAJ: Directory of Open Access Journals) - View

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