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Existence of three solutions for a non-homogeneous Neumann problem through Orlicz-Sobolev spaces

Authors:	Gabriele Bonanno Giovanni Molica Bisci

Institution:	^a Department of Science for Engineering and Architecture (Mathematics Section), Engineering Faculty, University of Messina, 98166 - Messina, Italy ^b Dipartimento P.A.U., Università degli Studi Mediterranea di Reggio Calabria, Salita Melissari - Feo di Vito, 89100 Reggio Calabria, Italy ^c Institute of Mathematics “Simion Stoilow” of the Romanian Academy, 014700 Bucharest, Romania ^d Department of Mathematics, University of Craiova, 200585 Craiova, Romania

Abstract:	The aim of this paper is to establish a multiplicity result for an eigenvalue non-homogeneous Neumann problem which involves a nonlinearity fulfilling a nonstandard growth condition. Precisely, a recent critical points result for differentiable functionals is exploited in order to prove the existence of a determined open interval of positive eigenvalues for which the problem admits at least three weak solutions in an appropriate Orlicz-Sobolev space.

Keywords:	primary 58E05 secondary 35D05 35J60 35J70 46N20 58J05
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