C1,1C1,1 solution of the Dirichlet problem for degenerate kk-Hessian equations

In this paper, we prove the existence of the C1,1C1,1-solution to the Dirichlet problem for degenerate elliptic kk-Hessian equations Sk[u]=fSk[u]=f under a condition which is weaker than the condition f1/k∈C1,1(Ω̄).