We consider a discrete Dirichlet boundary value problem of equations with the (p, q)-Laplacian operator in the principal part and prove the existence of at least two positive solutions. The assumptions on the reaction term ensure that the Euler-Lagrange functional, corresponding to the problem, satisfies an abstract two critical points result.

Nastasi, A., Vetro, C., Vetro, F. (2017). Positive solutions of discrete boundary value problems with the (p, q)-laplacian operator. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 1-12.

Positive solutions of discrete boundary value problems with the (p, q)-laplacian operator

Vetro, Calogero
;
Vetro, Francesca
2017-01-01

Abstract

We consider a discrete Dirichlet boundary value problem of equations with the (p, q)-Laplacian operator in the principal part and prove the existence of at least two positive solutions. The assumptions on the reaction term ensure that the Euler-Lagrange functional, corresponding to the problem, satisfies an abstract two critical points result.
2017
Settore MAT/05 - Analisi Matematica
Nastasi, A., Vetro, C., Vetro, F. (2017). Positive solutions of discrete boundary value problems with the (p, q)-laplacian operator. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 1-12.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/245619
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