Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840302 | Nonlinear Analysis: Theory, Methods & Applications | 2013 | 9 Pages |
Abstract
In the present paper we prove a multiplicity result for a model quasilinear Neumann problem (Nλ)(Nλ) on strip-like domains, depending on a positive parameter λλ. By variational methods, we prove that for large values of λλ, problem (Nλ)(Nλ) has at least two non-zero weak solutions, while there exists at least a λ˜>0 such that problem (Nλ˜) has at least three non-zero weak solutions. These solutions show symmetry properties with respect to certain group actions.
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Authors
Csaba Farkas, Ildikó Ilona Mezei,