On a problem of lower limit in the study of nonresonance

A. Anane and O. Chakrone

Abstract and Applied Analysis, 1997, vol. 2, 1-11

Abstract:

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

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:793549

DOI: 10.1155/S1085337597000365

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