  We consider generic models of quintessence and we investigate the influence
of massive neutrino matter with field-dependent masses on the matter power
spectrum. In case of minimally coupled neutrino matter, we examine the effect
in tracker models with inverse power-law and double exponential potentials. We
present detailed investigations for the scaling field with a steep exponential
potential, non-minimally coupled to massive neutrino matter, and we derive
constraints on field-dependent neutrino masses from the observational data.
