%0 Journal Article
%T Existence and multiplicity of solutions for nonlinear discrete inclusions
%A Nicu Marcu
%A Giovanni Molica Bisci
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X 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.
%K Nonlinear algebraic systems
%K difference equations
%K non-smooth problems
%K variational methods
%U http://ejde.math.txstate.edu/Volumes/2012/192/abstr.html