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Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 4
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Original Articles

Infinitely many solutions for a class of discrete non-linear boundary value problems

Gabriele Bonanno Department of Science for Engineering and Architecture (Mathematics Section), Engineering Faculty, University of Messina, 98166 Messina, ItalyCorrespondence[email protected]
&
Pasquale Candito Dipartimento di Informatica, Matematica, Elettronica e Trasporti, Facoltà di Ingegneria, Università degli Studi Mediterranea di Reggio Calabria, Via Graziella (Feo di Vito), 89100 Reggio Calabria, Italy
Pages 605-616 | Received 06 Feb 2009, Accepted 23 Mar 2009, Published online: 16 Jun 2009
 
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Abstract

The existence of infinitely many solutions for a discrete non-linear Dirichlet problem involving the p-Laplacian, under appropriate oscillating behaviours of the non-linear term, is established. The approach is based on the critical point theory.

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