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.
Bonanno, G., D’Aguì, G., Sciammetta, A. (2018). One-dimensional nonlinear boundary value problems with variable exponent. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S, 11(2), 179-191 [10.3934/dcdss.2018011].
One-dimensional nonlinear boundary value problems with variable exponent
Sciammetta, Angela
2018-01-01
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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
8. ONE-DIMENSIONAL NONLINEAR BOUNDARY VALUE PROBLEMS WITH VARIABLE EXPONENT.pdf
Solo gestori archvio
Dimensione
346.07 kB
Formato
Adobe PDF
|
346.07 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
