| SOME BOUNDARY VALUE PROBLEMS FOR NONLINEAR DEGENERATE ELLIPTIC EQUATIONS OF SECOND ORDER |
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| 引用本文： | 闻国椿. SOME BOUNDARY VALUE PROBLEMS FOR NONLINEAR DEGENERATE ELLIPTIC EQUATIONS OF SECOND ORDER[J]. 数学物理学报(B辑英文版), 2007, 27(3): 663-672. DOI: 10.1016/S0252-9602(07)60066-6 |
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| 作者姓名： | 闻国椿 |
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| 作者单位： | School of |
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| 摘 要： | The present article deals with some boundary value problems for nonlinear elliptic equations with degenerate rank 0 including the oblique derivative problem.Firstly the formulation and estimates of solutions of the oblique derivative problem are given, and then by the above estimates and the method of parameter extension,the existence of solutions of the above problem is proved.In this article,the complex analytic method is used,namely the corresponding problem for degenerate elliptic complex equations of first order is firstly discussed,afterwards the above problem for the degenerate elliptic equations of second order is solved.
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| 关 键 词： | 边值问题 非线性退化椭圆型方程 秩 偏微分方程 |
| 收稿时间： | 2004-03-08 |
| 修稿时间： | 2004-03-082005-12-02 |
Some boundary value problems for nonlinear degenerate elliptic equations of second order |
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| Guochun Wen,. Some boundary value problems for nonlinear degenerate elliptic equations of second order[J]. Acta Mathematica Scientia, 2007, 27(3): 663-672. DOI: 10.1016/S0252-9602(07)60066-6 |
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| Authors: | Guochun Wen |
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| Affiliation: | School of Mathematical Sciences, Peking University, Beijing 100871, China |
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| Abstract: | The present article deals with some boundary value problems for nonlinear elliptic equations with degenerate rank 0 including the oblique derivative problem. Firstly the formulation and estimates of solutions of the oblique derivative problem are given, and then by the above estimates and the method of parameter extension, the existence of solutions of the above problem is proved. In this article, the complex analytic method is used, namely the corresponding problem for degenerate elliptic complex equations of first order is firstly discussed, afterwards the above problem for the degenerate elliptic equations of second order is solved. |
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| Keywords: | Boundary value problems nonlinear elliptic equations parabolic degeneracy |
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