An application of babuska-brezzi's theory to a class of variational problems

Abstract

In this paper we apply the Babuska-Brezzi theory to obtain new results on the solvability and Galerkin approximations of some operator equations arising in linear and nonlinear variational problems with linear constraints. This constitutes an extension of the usual theory to a class of variational formulations that can be written in a dual-dual form

Keywords:

• Dual-dual formulations
• inf-sup conditions

AMS:

• 65J15
• 65N30
• 65N38
• 65R20