三阶非线性椭圆型复方程的斜微商边值问题  

The Oblique Derivative Boundary Value Problem for Nonlinear Elliptic Complex Equation of Third Order

作　　者：田大增[1] 傅爱民[2] 李子植[2] 

机构地区：[1]河北大学物理科学与技术学院,河北保定071002 [2]河北大学数学与计算机学院,河北保定071002

出　　处：《河北师范大学学报（自然科学版）》2006年第5期508-511,525,共5页Journal of Hebei Normal University：Natural Science

基　　金：河北省科学技术研究与发展课题(03213501);河北大学重点资助课题(2003Z12)

摘　　要：在一定条件下证明了单位圆盘上的三阶非线性椭圆型复方程的斜微商边值问题的可解性,并给出了其积分形式的解.讨论了多连通区域上的三阶非线性椭圆型复方程的斜微商边值问题的可解性.The solvability of the oblique derivative boundary value problem for elliptic complex equation of third order in the unit disk was proved, and the integral expression of its solutions was given. In the case of multiply connected domain, the solvability of the oblique derivative boundary value problem for elliptic complex equation of third order was discussed.

关 键 词：三阶椭圆型方程 斜微商边值问题 可解性 

分 类 号：O175.8[理学—数学]