The role of a resonant nu(e)-nu(s) oscillation is discussed for the ev
ent of a supernova explosion. It is concluded that a significant nu(e)
-nu(s) mixing may hinder the ability of the supernova to explode. It m
ay also cool the proto-neutron star too quickly with respect to the ob
served cooling time of several seconds. The constraints on the nu(e)-n
u(s) mixing parameters based on the above arguments are calculated.