具有超临界相位的特殊拉格朗日型方程的Neumann问题

THE NEUMANN PROBLEM FOR A SPECIAL LAGRANGIAN TYPE EQUATION WITH SUPERCRITICAL PHASE

本文研究了R^(n)空间中具有超临界相位的特殊拉格朗日型方程的Neumann的问题.得到解的全局C^(2)估计并通过连续性方法建立了古典解的存在性定理.

In this paper,we explore the Neumann problem for special lagrangian type equa-tions with supercritical phase in R^(n).We show the global C^(2) a priori estimates of the solution and establish the existence of classical solutions by the methods of continuity.