Fully nonlinear stochastic pde with semilinear stochastic dependence

We study in this Note scalar fully nonlinear stochastic second order partial differential equations, possibly, degenerate with a semilinear stochastic dependence. We introduce a notion of stochastic viscosity solutions adapted to that class of equations. And we show general existence, uniqueness and regularity results. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.