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1997 On a problem of lower limit in the study of nonresonance
A. Anane, O. Chakrone
Abstr. Appl. Anal. 2(3-4): 227-237 (1997). DOI: 10.1155/S1085337597000365


We prove the solvability of the Dirichlet problem {Δpu=f(u)+hinΩ,u=0onΩ 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 Δp. More general operators are also considered.


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A. Anane. O. Chakrone. "On a problem of lower limit in the study of nonresonance." Abstr. Appl. Anal. 2 (3-4) 227 - 237, 1997.


Published: 1997
First available in Project Euclid: 14 April 2003

zbMATH: 0933.35067
MathSciNet: MR1704870
Digital Object Identifier: 10.1155/S1085337597000365

Primary: 35J60 , 35P30

Keywords: $p$-Laplacian , first eigenvalue , nonresonance

Rights: Copyright © 1997 Hindawi

Vol.2 • No. 3-4 • 1997
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