Existence and multiplicity of solutions for nonlinear discrete inclusions

Existence and multiplicity of solutions for nonlinear discrete inclusions

A non-smooth abstract result is used for proving the existence of at least one nontrivial solution of an algebraic discrete inclusion. Successively, a multiplicity theorem for the same class of discrete problems is also established by using a locally Lipschitz continuous version of the famous Br...

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Main Authors: Nicu Marcu, Giovanni Molica Bisci
Format: Article
Language:English
Published: Texas State University 2012-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Nonlinear algebraic systems
difference equations
non-smooth problems
variational methods
Online Access:http://ejde.math.txstate.edu/Volumes/2012/192/abstr.html
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spelling doaj-0135b0d07ebb4c2485a592d3466d86962020-11-24T22:51:35ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-11-012012192,113Existence and multiplicity of solutions for nonlinear discrete inclusionsNicu MarcuGiovanni Molica BisciA non-smooth abstract result is used for proving the existence of at least one nontrivial solution of an algebraic discrete inclusion. Successively, a multiplicity theorem for the same class of discrete problems is also established by using a locally Lipschitz continuous version of the famous Brezis-Nirenberg theoretical result in presence of splitting. Some applications to tridiagonal, fourth-order and partial difference inclusions are pointed out. http://ejde.math.txstate.edu/Volumes/2012/192/abstr.htmlNonlinear algebraic systemsdifference equationsnon-smooth problemsvariational methods
collection DOAJ
language English
format Article
sources DOAJ
author Nicu Marcu
Giovanni Molica Bisci
spellingShingle Nicu Marcu
Giovanni Molica Bisci
Existence and multiplicity of solutions for nonlinear discrete inclusions
Electronic Journal of Differential Equations
Nonlinear algebraic systems
difference equations
non-smooth problems
variational methods
author_facet Nicu Marcu
Giovanni Molica Bisci
author_sort Nicu Marcu
title Existence and multiplicity of solutions for nonlinear discrete inclusions
title_short Existence and multiplicity of solutions for nonlinear discrete inclusions
title_full Existence and multiplicity of solutions for nonlinear discrete inclusions
title_fullStr Existence and multiplicity of solutions for nonlinear discrete inclusions
title_full_unstemmed Existence and multiplicity of solutions for nonlinear discrete inclusions
title_sort existence and multiplicity of solutions for nonlinear discrete inclusions
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2012-11-01
description A non-smooth abstract result is used for proving the existence of at least one nontrivial solution of an algebraic discrete inclusion. Successively, a multiplicity theorem for the same class of discrete problems is also established by using a locally Lipschitz continuous version of the famous Brezis-Nirenberg theoretical result in presence of splitting. Some applications to tridiagonal, fourth-order and partial difference inclusions are pointed out.
topic Nonlinear algebraic systems
difference equations
non-smooth problems
variational methods
url http://ejde.math.txstate.edu/Volumes/2012/192/abstr.html
work_keys_str_mv AT nicumarcu existenceandmultiplicityofsolutionsfornonlineardiscreteinclusions
AT giovannimolicabisci existenceandmultiplicityofsolutionsfornonlineardiscreteinclusions
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