The aim of this paper is to study a parameter-dependent nonlinear differential problem with Sturm–Liouville type equation and Dirichlet boundary conditions. In particular, by requiring a suitable behavior on the nonlinearity, we determine an interval of parameter for which the problem admits three or infinitely many solutions.

Multiple solutions for nonlinear Sturm–Liouville differential equations with possibly negative variable coefficients

Eleonora Amoroso;Gabriele Bonanno
;
Giuseppina D'Agui;Salvatore Foti
2023-01-01

Abstract

The aim of this paper is to study a parameter-dependent nonlinear differential problem with Sturm–Liouville type equation and Dirichlet boundary conditions. In particular, by requiring a suitable behavior on the nonlinearity, we determine an interval of parameter for which the problem admits three or infinitely many solutions.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3240465
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 4
social impact