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CALOGERO VETRO

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

  • Authors: Nastasi, A.; Vetro, C.; Vetro, F.
  • Publication year: 2017
  • Type: Articolo in rivista (Articolo in rivista)
  • Key words: (p, q)-Laplacian operator; (PS)-condition; Difference equations; Positive solutions;
  • OA Link: http://hdl.handle.net/10447/245619

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.