Journal of Mathematical Sciences, Vol. 178, No. 6, November, 2011 ON THE CLASSICAL SOLVABILITY OF THE DIRICHLET PROBLEM FOR NONDEGENERATE m-HESSIAN EQUATIONS

摘要

We study the classical solvability of m-Hessian equations. We give a complete proof of the existence of a classical solution under minimal assumptions on the data of the Dirichlet problem and systematize methods for studying fully nonlinear Hessian equations.