One-dimensional nonlinear boundary value problems with variable exponent
- Autori: Bonanno, Gabriele*; D’Aguì, Giuseppina; Sciammetta, Angela
- Anno di pubblicazione: 2018
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: Dirichlet problem; P(x)-Laplacian; Variable exponent Sobolev spaces; Analysis; Discrete Mathematics and Combinatorics; Applied Mathematics
- OA Link: http://hdl.handle.net/10447/318314
Abstract
In this paper, a class of nonlinear differential boundary value problems with variable exponent is investigated. The existence of at least one non-zero solution is established, without assuming on the nonlinear term any condition either at zero or at infinity. The approach is developed within the framework of the Orlicz-Sobolev spaces with variable exponent and it is based on a local minimum theorem for differentiable functions.