The Neumann problem for a class of fully nonlinear elliptic partial differential equations

Abstract

In this paper, we establish a global C 2 estimates to the Neumann problem for a class of fullly nonlinear elliptic equations. By the method of continuity, we establish the existence theorem of k-admissible solutions of the Neumann problems.

The Neumann problem for a type of fully nonlinear complex equations

“…Comparing to the complex fully nonlinear equations, the works about the real fully nonlinear equations are more abundant. We refer to [8,24,23,9,17,18,32,33,22,21,4,5,12,13,16] and references therein. We remark that in the above mentioned papers, the domain is assumed to be strictly pseudoconvex, convex or mean convex.…”