On degenerate nonlinear elliptic equations. ii

Dirichlet problems for degenerate nonlinear elliptic equations of Bellman type $ \inf_p(L(p)u+f(p))=0$ are studied, where $ L(p)$ is a linear elliptic operator of second order. Under certain conditions on the coefficients of $ L(p)$, it is shown that this problem is solvable in the class of functions with bounded second derivatives.