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Multiple solutions for discrete boundary value problems
Authors:Alberto Cabada  Antonio Iannizzotto  Stepan Tersian
Affiliation:a Departamento de Analise Matematica, Facultade de Matematicas, Universitade de Santiago de Compostela, Santiago de Compostela, Spain
b Dipartimento di Matematica e Informatica, Università degli Studi di Catania, Viale A. Doria 6, 95125 Catania, Italy
c Department of Mathematical Analysis, University of Rousse, 7017 Rousse, Bulgaria
Abstract:A recent multiplicity theorem for the critical points of a functional defined on a finite-dimensional Hilbert space, established by Ricceri, is extended. An application to Dirichlet boundary value problems for difference equations involving the discrete p-Laplacian operator is presented.
Keywords:Difference equations   Discrete p-Laplacian   Variational methods
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