We establish existence of two positive solutions for a nonlinear Sturm-Liouville equation in a complete form, that is, involving the first derivative, with Neumann boundary conditions. The conclusion is obtained by assuming a suitable behaviour of the nonlinearity in a well determined interval and at infinity, requiring no condition at zero. Our approach is based on variational methods.
Two positive solutions for superlinear Neumann problems with a complete Sturm-Liouville operator
IANNIZZOTTO, ANTONIO;MARRAS, MONICA
2018-01-01
Abstract
We establish existence of two positive solutions for a nonlinear Sturm-Liouville equation in a complete form, that is, involving the first derivative, with Neumann boundary conditions. The conclusion is obtained by assuming a suitable behaviour of the nonlinearity in a well determined interval and at infinity, requiring no condition at zero. Our approach is based on variational methods.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Bonanno-Iannizzotto-Marras JCA.pdf
Solo gestori archivio
Tipologia:
versione editoriale
Dimensione
4.31 MB
Formato
Adobe PDF
|
4.31 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
