An equivalent formulation for variational problems with constraints


  • Gabriel N. Gatica Universidad de Concepción.



Funciones, Elementos finitos


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.

Author Biography

Gabriel N. Gatica, Universidad de Concepción.

Departamento de Matemática.


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How to Cite

G. N. Gatica, “An equivalent formulation for variational problems with constraints”, Proyecciones (Antofagasta, On line), vol. 8, no. 16, pp. 17-39, Apr. 2018.