The paper establishes several minimization theorems for noncoercive functionals defined on a Hilbert (or reflexive Banach) space which are subject to constraints. Applications to critical point theory and variational inequalities are given. The results are also applied to obtain the existence of solutions of several nonlinear boundary and unilateral problems.
"Minimization problems for noncoercive functionals subject to constraints. II.." Adv. Differential Equations 1 (3) 453 - 498, 1996.