The delta-expansion is a nonperturbative approach for field theoretic
models which combines the techniques of perturbation theory and the va
riational principle. Different ways of implementing the principle of m
inimal sensitivity to the delta-expansion produce in general different
results for observables. For illustration we use the Nambu-Jona-Lasin
io model for chiral symmetry restoration at finite density and compare
results with those obtained with the Hartree-Fock approximation.