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二阶完全非线性椭圆型方程的非正则斜微商边值问题
引用本文:闻国椿. 二阶完全非线性椭圆型方程的非正则斜微商边值问题[J]. 烟台大学学报(自然科学与工程版), 1992, 0(4)
作者姓名:闻国椿
作者单位:北京大学
摘    要:本文讨论n维空间区域上二阶完全非线性椭圆型方程的非正则斜微商边值问题的可解性,在某些自然结构的条件下,我们先给出了上述边值问题解的先验估计式,进而用参数开拓法证明了此边值问题的可解性。

关 键 词:非正则斜微商问题  完全非线性椭圆型方程

Irregular Oblique Derivative Problems for Fully Nonlinear Elliptic Equations of Second Order
Wen Guochun. Irregular Oblique Derivative Problems for Fully Nonlinear Elliptic Equations of Second Order[J]. Journal of Yantai University(Natural Science and Engineering edirion), 1992, 0(4)
Authors:Wen Guochun
Affiliation:Peking University
Abstract:This paper deals with irregular oblique derivative problems for fully nonlinear elliptic equations of second order. Under some natural structure conditions, we give a priority estimates of solutions for the above problems,and then prove the existence and uniqueness of the classical solution of the boundary value problems.
Keywords:Irregular oblique derivative problems. Fully nonlinear elliptic equations.
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