We consider a parametric Dirichlet problem driven by the anisotropic (p, q)-Laplacian and with a reaction which exhibits the combined effects of a superlinear (convex) term and of a negative sublinear term. Using variational tools and critical groups we show that for all small values of the parameter, the problem has at least three nontrivial smooth solutions, two of which are of constant sign (positive and negative).
Papageorgiou N.S., Repovš D.D., Vetro C. (2023). Anisotropic (p,q)-Equations with Convex and Negative Concave Terms. In Candela Anna Maria, Cappelletti Montano Mirella, Mangino Elisabetta (a cura di), Recent Advances in Mathematical Analysis (pp. 425-441) [10.1007/978-3-031-20021-2_21].
Anisotropic (p,q)-Equations with Convex and Negative Concave Terms
Vetro C.
2023-01-01
Abstract
We consider a parametric Dirichlet problem driven by the anisotropic (p, q)-Laplacian and with a reaction which exhibits the combined effects of a superlinear (convex) term and of a negative sublinear term. Using variational tools and critical groups we show that for all small values of the parameter, the problem has at least three nontrivial smooth solutions, two of which are of constant sign (positive and negative).
| File | Dimensione | Formato | |
|---|---|---|---|
|
2023_PRV_REDIMA-chapter.pdf
Solo gestori archvio
Descrizione: Capitolo
Tipologia:
Versione Editoriale
Dimensione
227.22 kB
Formato
Adobe PDF
|
227.22 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.
