Under an appropriate oscillating behavior of the nonlinear term, the existence of a determined open interval of positive parameters for which an eigenvalue non-homogeneous Neumann problem admits infinitely many weak solutions that strongly converges to zero, in an appropriate Orlicz-Sobolev space, is proved. Our approach is based on variational methods. The abstract result of this paper is illustrated by a concrete case.
Arbitrarily small weak solutions for a nonlinear eigenvalue problem in Orlicz-Sobolev spaces
BONANNO, Gabriele;
2012-01-01
Abstract
Under an appropriate oscillating behavior of the nonlinear term, the existence of a determined open interval of positive parameters for which an eigenvalue non-homogeneous Neumann problem admits infinitely many weak solutions that strongly converges to zero, in an appropriate Orlicz-Sobolev space, is proved. Our approach is based on variational methods. The abstract result of this paper is illustrated by a concrete case.File in questo prodotto:
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