TY - JOUR AU - Gatica, Gabriel N. PY - 2018/04/02 Y2 - 2024/03/28 TI - An equivalent formulation for variational problems with constraints JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 8 IS - 16 SE - DO - 10.22199/S07160917.1990.0016.00002 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/2591 SP - 17-39 AB - <p>The main purpose of this paper is to reconsider the studying of existence, uniqueness and approximation of solution to a variational problem with constraints. Under certain assumptions on the bilinear forms involved it is proved that the original formulation is equivalent to a simplified version of it on smaller spaces. By applying the usual Brezzi's theory to this new formulation a modified Babuska-Brezzi condition is deduced.</p> ER -