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- Title
EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR DISCRETE INCLUSIONS.
- Authors
MARCU, NICU; BISCI, GIOVANNI MOLICA
- Abstract
A non-smooth 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 Brézis-Nirenberg theoretical result in presence of splitting. Some applications to tridiagonal, fourth-order and partial difference inclusions are pointed out.
- Subjects
MULTIPLICITY (Mathematics); COMPUTATIONAL mathematics; DIFFERENTIAL inclusions; PARTIAL differential equations; ALGEBRAIC functions
- Publication
Electronic Journal of Differential Equations, 2012, Vol 2012, p1
- ISSN
1550-6150
- Publication type
Article