A minimax approach for the study of systems of variational equations and related Galerkin schemes Garralda Guillén, Ana Isabel Ruiz Galán, Manuel Minimax problems Variational inequalities The aim of this work is to analyze the existence of a solution for a quite general variational inequalities system, which includes those appearing in the theory of mixed variational equations, the so-called Babuška–Brezzi theory. It is done by means of a minimax inequality, which also provides us with a estimate of the norm of the solution. Then, we derive a numerical method of the Galerkin type to approximate the solution of such a system. Its stability follows from the mentioned control of the norm of the solution. 2023-12-18T12:28:34Z 2023-12-18T12:28:34Z 2019-07 info:eu-repo/semantics/article Garralda-Guillem, A.I., Ruiz Galán, M. A minimax approach for the study of systems of variational equations and related Galerkin schemes, (2019) Journal of Computational and Applied Mathematics, 354, pp. 103-111. https://hdl.handle.net/10481/86319 10.1016/j.cam.2018.05.007 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ info:eu-repo/semantics/openAccess Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License Elsevier B.V.