| 带势函数的双调和不等式组的整体解的不存在性 |
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| 引用本文： | 蒋秋霞,魏公明.带势函数的双调和不等式组的整体解的不存在性[J].上海理工大学学报,2016,38(2):109-114. |
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| 作者姓名： | 蒋秋霞 魏公明 |
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| 作者单位： | 上海理工大学 理学院, 上海 200093;上海理工大学 理学院, 上海 200093 |
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| 基金项目： | 沪江基金资助项目(B14005) |
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| 摘 要： | 研究了一类带势函数的双调和不等式组的整体解的不存在性.在一定条件下,通过选择合适的测试函数,利用Young不等式、H?lder不等式及Sobolev嵌入定理等,得到解的先验估计,并应用这一估计证明不等式组的整体解的不存在性.
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| 关 键 词： | 双调和 测试函数 整体解 |
| 收稿时间： | 1/8/2015 12:00:00 AM |
Nonexistence of Global Solutions for a Class of Biharmonic Inequalities |
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| JIANG Qiuxia and WEI Gongming.Nonexistence of Global Solutions for a Class of Biharmonic Inequalities[J].Journal of University of Shanghai For Science and Technology,2016,38(2):109-114. |
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| Authors: | JIANG Qiuxia and WEI Gongming |
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| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | The nonexistence of golbal solutions for a class of biharmonic inequalities was studied.Under certain conditions,by choosing appropriate test functions and using the Young''s inequality,Hölder''s inequality,Sobolev type inequalities,a priori estimate for the solutions was obtained and the nonexistence of the golbal solutions for the systems was proven. |
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| Keywords: | biharmonic test function global solution |
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