| 一类Euler方程的非平凡解的存在性 |
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| 引用本文： | 姚仰新,许金泉.一类Euler方程的非平凡解的存在性[J].华南理工大学学报(自然科学版),1994,22(1):133-140. |
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| 作者姓名： | 姚仰新 许金泉 |
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| 作者单位： | 华南理工大学应用数学系，惠州大学数学系 |
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| 摘 要： | 本文应用山路引理讨论下面的Ｅｕｌｅｒ方程的超临界增长的边值问题的非平凡解的存在性．其中ｎ（ｘ）是Ω的外法向，Ｃ为常数．这里边界增长的次可以超过这嵌入临界指数
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| 关 键 词： | 超临界 欧拉方程 存在性 非单凡解 |
THE EXISTENCE OF THE NONTRIVIAL SOLUTION FOR A CLASS OF EULER EQUATION |
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| Yao Yangxin ,Xu Jinquan.THE EXISTENCE OF THE NONTRIVIAL SOLUTION FOR A CLASS OF EULER EQUATION[J].Journal of South China University of Technology(Natural Science Edition),1994,22(1):133-140. |
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| Authors: | Yao Yangxin Xu Jinquan |
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| Abstract: | In this paper, we deal with the exictence of the nontrivial solution of the elliptic equation with a nonlinear boundary condition whenthe order of the nonlinear growth in the equation is strictly greater thanthe order of the nonlinear growth on the boundary. |
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| Keywords: | s: equations supercriticality non-linear / palais-smale condition mountain pass lemma |
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