  We provide, in the R-parity violating supersymmetric standard model, a
comprehensive analysis for sneutrino minimization from the one-loop effective
scalar potential, and also for one-loop renormalized neutrino masses and mixing
by calculating the effective neutrino mass matrix in the weak basis. Applying
our results to theories with gauge mediated supersymmetry breaking, we show how
atmospheric and solar neutrino oscillations can be accommodated simultaneously
in this framework. It is observed that the one-loop correction to sneutrino
vacuum expectation values leads to a significant effect on the determination of
the neutrino masses and mixing.
