Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840588 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 16 Pages |
Abstract
In this paper, we are interested in the existence of infinitely many weak solutions for a non-homogeneous eigenvalue Dirichlet problem. By using variational methods, in an appropriate Orlicz–Sobolev setting, we determine intervals of parameters such that our problem admits either a sequence of non-negative weak solutions strongly converging to zero provided that the non-linearity has a suitable behaviour at zero or an unbounded sequence of non-negative weak solutions if a similar behaviour occurs at infinity.
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Authors
Gabriele Bonanno, Giovanni Molica Bisci, Vicenţiu D. Rădulescu,