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On the existence of solutions for discrete elliptic boundary value problems
Authors:Marek Galewski  Aleksandra Orpel
Affiliation:1. Faculty of Mathematics and Computer Science , University of Lodz , Banacha 22, Lodz 90–238, Poland galewski@math.uni.lodz.pl;3. Faculty of Mathematics and Computer Science , University of Lodz , Banacha 22, Lodz 90–238, Poland
Abstract:Using critical point theory and some monotonicity results we consider the existence of solutions to a boundary value problem connected with the discrete elliptic equation with a positive parameter.
Keywords:discrete BVP  elliptic problem  variational method  monotonicity
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