Prescribing the symmetric function of the eigenvalues of the Schouten tensor.

In this paper we study the problem of conformally deforming a metric to a prescribed symmetric function of the eigenvalues of the Schouten tensor on compact Riemannian manifolds with boundary. We prove its solvability and the compactness of the solution set, provided the Ricci tensor is nonnegative-definite. [ABSTRACT FROM AUTHOR]