We consider a nonlinear elliptic problem driven by the p-Laplacian plus and indefinite potential term. The reaction is (p − 1)-linear and resonant and the boundary term is concave. The problem is nonparametric. Using variational tools, together with truncation and perturbation techniques and critical groups, we show that the problem has at least three nontrivial smooth solutions.
Nonlinear resonant problems with an indefinite potential and concave boundary condition
Scapellato A.
2020-01-01
Abstract
We consider a nonlinear elliptic problem driven by the p-Laplacian plus and indefinite potential term. The reaction is (p − 1)-linear and resonant and the boundary term is concave. The problem is nonparametric. Using variational tools, together with truncation and perturbation techniques and critical groups, we show that the problem has at least three nontrivial smooth solutions.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
p8337.pdf
accesso aperto
Tipologia:
Versione Editoriale (PDF)
Licenza:
Creative commons
Dimensione
441.79 kB
Formato
Adobe PDF
|
441.79 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
