Multiplicity of solutions for discrete problems with double-well potentials

Multiplicity of solutions for discrete problems with double-well potentials

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This article presents some multiplicity results for a general class of nonlinear discrete problems with double-well potentials.Variational techniques are hp 27xq used to obtain the existence of saddle-point type critical points.In addition to simple discrete boundary-value problems, partial difference equations as well as problems involving discrete $p$-Laplacian are considered.

Also sensationnel brielle the boundedness of solutions is studied and possible applications, e.g.in image processing, are discussed.