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).
2023
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/619233
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