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Ground state periodic solutions for difference equations with discrete p-Laplacian
Authors:Petru Jebelean  Caˇlin ?erban
Affiliation:West University of Timi?oara, Department of Mathematics, Blvd. V. Pârvan No. 4, 300223 Timi?oara, Romania
Abstract:We use the critical point theory to establish existence results for periodic solutions of some nonlinear boundary value problems involving the discrete p-Laplacian operator. As an application we give an alternative proof to the upper and lower solutions theorem.
Keywords:Discrete p-Laplacian operator   Critical point   Palais-Smale condition   Lower and upper solutions
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