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ON AN OPEN QUESTION OF RICCERI CONCERNING A NEUMANN PROBLEM

Published online by Cambridge University Press:  09 August 2007

FRANCESCA FARACI  and
ALEXANDRU KRISTÁLY
FRANCESCA FARACI
Affiliation:
University of Catania, Department of Mathematics, 95125 Catania, Italy email: ffaraci@dmi.unict.it
ALEXANDRU KRISTÁLY
Affiliation:
University of Babeş-Bolyai, Department of Economics, 400591 Cluj-Napoca, Romania email: alexandrukristaly@yahoo.com
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Abstract

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In this paper we solve partially an open problem raised by B. Ricceri (Bull. London Math. Soc.33 (2001), 331–340). Infinitely many solutions for a Neumann problem are obtained through a direct variational approach where the nonlinearity has an oscillatory behaviour at infinity.

Keywords

35J2035J25
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 2 , May 2007 , pp. 189 - 195
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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