On a problem of lower limit in the study of nonresonance. (1997)

• Record Type: Journal Article
• Authors: Anane, A.; Chakrone, O.
• Is Part Of: Abstract and applied analysis. Volume 2:Number 3/4(1997)
• Page Start: 227
• Page End: 237
• Publication Date: 1997
• Subjects: p-Laplacian -- nonresonance -- first eigenvalue; Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/S1085337597000365
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We prove the solvability of the Dirichlet problem{ − Δ p u = f ( u ) + h in Ω, u = 0 on ∂ Ω for every givenh, under a condition involving only the asymptotic behaviour of the potentialF off with respect to the first eigenvalue of thep -LaplacianΔ p . More general operators are also considered.