| 在无界域中具散度形式的非线性椭圆型方程边值问题 |
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| 引用本文： | 林应标.在无界域中具散度形式的非线性椭圆型方程边值问题[J].厦门大学学报(自然科学版),1993,32(5):537-542. |
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| 作者姓名： | 林应标 |
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| 作者单位： | 厦门大学数学系 |
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| 摘 要： | 先用非线性泛函方法证明混合边值问题解的存在性，然后证明在有界域外部具散度主部的非线性椭圆型方程边值问题解的存在与唯一，最后证明在一般无域中解的存在与唯一。
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| 关 键 词： | 散度形式 非线性 椭圆型方程 |
BVPS for Nonlinear Elliptic Equations with Divergence form in Unbounded Domains |
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| Lin Yingbiao.BVPS for Nonlinear Elliptic Equations with Divergence form in Unbounded Domains[J].Journal of Xiamen University(Natural Science),1993,32(5):537-542. |
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| Authors: | Lin Yingbiao |
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| Institution: | Dept. of Math. |
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| Abstract: | By means of the methods of upper and lower Solutions,The existence and uniqueness of the solution are proved for nonlinear elliptic BVP in a general unbounded domain in Rn,including the exterior of a bounded domain. |
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| Keywords: | Nonlinear elliptic equations in divergence form Nonlinear boundary condition Upper and lower solutions Positive solution |
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