We calculate the event rates induced by high-intensity radioactive sources of ν e ( 51 Cr) and ofν e ( 90 Sr), to be located near the BOREXINO detector. Calculations are performed both in the standard case and assuming non-standard properties of neutrinos, including flavor oscillations, neutrino electromagnetic interactions, and deviations from the standard vector and axial couplings in the ν e -e interaction. It is shown that, in some cases, the current limits on non-standard neutrino properties can be significantly improved.