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Zbl 1220.35043
Bonanno, Gabriele; Bisci, Giovanni Molica; Rădulescu, Vicenţiu
Existence of three solutions for a non-homogeneous Neumann problem through Orlicz-Sobolev spaces. (English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 14, 4785-4795 (2011). ISSN 0362-546X

Summary: 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.

MSC 2000:: *35J60 Nonlinear elliptic equations
58E05 Abstract critical point theory
35D30
35J70 Elliptic equations of degenerate type
46N20 Appl. of functional analysis to differential and integral equations
58J05 Elliptic equations on manifolds, general theory

Keywords: critical point; weak solutions; non-homogeneous Neumann problem

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