| 三阶非线性椭圆型复方程的斜微商边值问题 |
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| 引用本文： | 田大增,傅爱民,李子植.三阶非线性椭圆型复方程的斜微商边值问题[J].河北师范大学学报(自然科学版),2006,30(5):508-511,525. |
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| 作者姓名： | 田大增 傅爱民 李子植 |
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| 作者单位： | 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 |
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| 基金项目： | 河北省科学技术研究与发展计划
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河北大学校科研和校改项目 |
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| 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.
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| 关 键 词： | 三阶椭圆型方程 斜微商边值问题 可解性 |
| 文章编号： | 1000-5854（2006）05-0508-04 |
| 收稿时间： | 2005-11-18 |
| 修稿时间： | 2005-11-18 |
The Oblique Derivative Boundary Value Problem for Nonlinear Elliptic Complex Equation of Third Order |
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| TIAN Da-zeng,FU Ai-min,LI Zi-zhi.The Oblique Derivative Boundary Value Problem for Nonlinear Elliptic Complex Equation of Third Order[J].Journal of Hebei Normal University,2006,30(5):508-511,525. |
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| Authors: | TIAN Da-zeng FU Ai-min LI Zi-zhi |
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| Institution: | 1. College of Physics Science and Technology, Hebei University, Hebei Baoding 071002, China; 2. College of Mathematics and Computer Science,Hebei University,Hebei Baoding 071002,China |
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| Abstract: | 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. |
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| Keywords: | elliptic complex equation of th rd order oblique derivative bommdm value problem solvability |
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