Nonlinear algebraic systems with discontinuous terms

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.

Cited by in corpus (2)

• Existence of solutions for $p$-Laplacian discrete equations
• On some variational algebraic problems