Nicu Marcu, Giovanni Molica Bisci
Abstract:
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.
Submitted September 4, 2012. Published November 2, 2012.
Math Subject Classifications: 38J20, 39A10, 34B15, 49J40
Key Words: Nonlinear algebraic systems; difference equations;
non-smooth problems; variational methods
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Nicu Marcu Department of Finance, University of Craiova Street A.I. Cuza No. 13, 200585, Craiova, Romania email: marcu.nicu@yahoo.com |
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Giovanni Molica Bisci Dipartimento MECMAT, University of Reggio Calabria Via Graziella, Feo di Vito, 89124 Reggio Calabria, Italy email: gmolica@unirc.it |
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