| 关于完全非线性二阶椭圆型方程可解性的注记 |
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| 引用本文： | 余庆余,耿堤.关于完全非线性二阶椭圆型方程可解性的注记[J].兰州大学学报(自然科学版),1994,30(1):1-4. |
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| 作者姓名： | 余庆余 耿堤 |
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| 作者单位： | 兰州大学数学系 |
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| 摘 要： | 本文通过构造下解的方法，证明了当右边非线性项满足某些增长性条件时，完全非线性二阶椭圆型方程的边值问题是可解的，这完善了已有的结果。
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| 关 键 词： | 非线性 椭圆型方程 可解性 下解 |
Notes on Solvability of Fully Nonlinear Elliptic Equations of Second Order |
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| Yu Qingyu,Geng Di,Qu Changzheng.Notes on Solvability of Fully Nonlinear Elliptic Equations of Second Order[J].Journal of Lanzhou University(Natural Science),1994,30(1):1-4. |
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| Authors: | Yu Qingyu Geng Di Qu Changzheng |
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| Abstract: | It is proved in this paper that the boundary value problem for fully nonlinear elliptic equations is solvable by constructing the subsolutions of equations when the right nonlinear term satisfies certain growth conditions; these results can improve the known results and bring them to perfection. |
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| Keywords: | nonlinear elliptic equation Dirichlet problem solvability subsolutions |
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