Antonella Nastasi, Calogero Vetro, Francesca Vetro
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.
Submitted July 12, 2017. Published September 20, 2017.
Math Subject Classifications: 34B18, 39A10, 39A12.
Key Words: Difference equations; (p,q)-Laplacian operator;
(PS)-condition; positive solutions.
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Antonella Nastasi Department of Mathematics and Computer Science University of Palermo Via Archirafi 34, 90123, Palermo, Italy email: ella.nastasi.93@gmail.com |
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Calogero Vetro Department of Mathematics and Computer Science University of Palermo Via Archirafi 34, 90123 Palermo, Italy email: calogero.vetro@unipa.it |
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Francesca Vetro Department of Energy Information Engineering and Mathematical Models (DEIM) University of Palermo Viale delle Scienze, 90128 Palermo, Italy email: francesca.vetro@unipa.it |
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