| 退化非线性椭圆方程在无界域解的存在性 |
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| 引用本文： | 姚仰新,许金泉,姚若河.退化非线性椭圆方程在无界域解的存在性[J].华南理工大学学报(自然科学版),1996(10). |
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| 作者姓名： | 姚仰新 许金泉 姚若河 |
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| 作者单位： | 华南理工大学应用数学系 |
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| 基金项目： | 华南理工大学自然科学基金 |
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| 摘 要： | 利用集中紧原理讨论退化非线性椭圆方程在无界域解的存在性。我们还利用Ｐｏｈｏｚｅａｒ恒等式证明在一定条件下该方程不存在非平凡解
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| 关 键 词： | 椭圆型方程 非线性 集中紧 |
THE EXISTENCE OF SOLUTION OF A DEGENRATE NONLINEAR ELLIPTIC EQUATION IN UNBOUNDED DOMAINS |
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| Yao Yangxin\ Xu Jinquan\ Yao Ruohe.THE EXISTENCE OF SOLUTION OF A DEGENRATE NONLINEAR ELLIPTIC EQUATION IN UNBOUNDED DOMAINS[J].Journal of South China University of Technology(Natural Science Edition),1996(10). |
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| Authors: | Yao Yangxin\ Xu Jinquan\ Yao Ruohe |
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| Abstract: | This paper discusses the existence of a degenerate nonlinear elliptic equation in unbounded domains by virtue of the concentration compactness principle,the results proving that the equation has no nontrivial solutions in some conditions according to a Pohozear type identity. |
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| Keywords: | elliptic equation non linear concentration compactness |
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