| Existence of Explosive Solutions for a Class of Nonlinear Elliptic Equations |
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| 作者姓名： | 彭亚红 彭小珍 |
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| 作者单位： | Department of Applied Mathematics，Donghua University |
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| 摘 要： | By the subsuper solutions method, the explosive supersolutions and explosive subsol utions are obtained and the exsistence of explosive solutions is proved on a bounded domain for a class of nonlinear elliptic problems.Then, the exsitence of an entire large solution is proved by the perturbed method.
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| 关 键 词： | 非线性椭圆方程 爆炸解 椭圆型 有界域 摄动法 证明 |
Existence of Explosive Solutions for a Class of Nonlinear Elliptic Equations |
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| PENG Ya-hong,PENG Xiao-zhen.Existence of Explosive Solutions for a Class of Nonlinear Elliptic Equations[J].Journal of Donghua University,2008,25(6):676-679. |
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| Authors: | PENG Ya-hong PENG Xiao-zhen |
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| Institution: | Department of Applied Mathematics, Donghua University, Shanghai 201620,China |
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| Abstract: | By the subsuper solutions method, the explosive supersolutions and explosive subsol utions are obtained and the exsistence of explosive solutions is proved on a bounded domain for a class of nonlinear elliptic problems.Then, the exsitence of an entire large solution is proved by the perturbed method. |
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| Keywords: | nonlinear elliptic equations explosive supersolutions explosive subsolutions |
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