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arXiv · 1608.07426

Nonlinear algebraic systems with discontinuous terms

Giovanni Molica Bisci·Dušan Repovš
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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.

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Giovanni Molica Bisci, Dušan Repovš. 2016-08-26. Nonlinear algebraic systems with discontinuous terms. https://doi.org/10.1016/j.jmaa.2012.09.046

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