Nonlinear algebraic systems with discontinuous terms
Analysis of PDEs
2016-08-29 v1 Classical Analysis and ODEs
Abstract
Using a multiple critical points theorem for locally Lipschitz continuous functionals, we establish the existence of at least three distinct solutions for a parametric discrete differential inclusion problem involving a real symmetric and positive definite matrix. Applications to tridiagonal, fourth-order and partial difference inclusions are presented.
Cite
@article{arxiv.1608.07426,
title = {Nonlinear algebraic systems with discontinuous terms},
author = {Giovanni Molica Bisci and Dušan Repovš},
journal= {arXiv preprint arXiv:1608.07426},
year = {2016}
}