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| 一类渐近线性双调和方程非平凡解的存在性 | |
| 引用本文： | 伍芸,何少通,沈尧天. 一类渐近线性双调和方程非平凡解的存在性[J]. 数学学报, 2011, 54(1): 9-14 |
| 作者姓名： | 伍芸 何少通 沈尧天 |
| 作者单位： | 1. 贵州师范大学数学与计算机科学学院 贵阳 550001; 2. 华南理工大学数学科学学院 广州 510640 |
| 基金项目： | 国家自然科学基金资助项目(10771074) |
| 摘 要： | 通过建立新空间H,证明了一个嵌入定理.进一步,利用该嵌入定理与山路引理得到了一类渐近线性双调和问题在空间H中非平凡解的存在性. |
| 关 键 词： | 双调和方程 非平凡解 山路引理 |
| 收稿时间： | 2008-10-20 |
| 修稿时间： | 2010-07-23 |
The Existence of Nontrivial Solutions of an Asymptotically Linear Biharmonic Equation |
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| Yun WU School of Mathematics , Computer Science,Guizhou Normal University,Guiyang ,P.R.China Shao Tong HE Yao Tian SHEN School of Mathematical Sciences,South China University of Technology,Guangzhou ,P.R.China. The Existence of Nontrivial Solutions of an Asymptotically Linear Biharmonic Equation[J]. Acta Mathematica Sinica, 2011, 54(1): 9-14 | |
| Authors: | Yun WU School of Mathematics Computer Science Guizhou Normal University Guiyang P.R.China Shao Tong HE Yao Tian SHEN School of Mathematical Sciences South China University of Technology Guangzhou P.R.China |
| Affiliation: | 1. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, P. R. China; 2. School of Mathematical Sciences, South China University of Technology, Guangzhou, 510640, P. R. China |
| Abstract: | Through the establishment of a new space, we prove an embedding theorem. Furthermore, using that embedding theorem and mountain pass theorem, we obtain the existence of nontrivial solutions of a biharmonic problem in the new space. |
| Keywords: | biharmonic equation nontrivial solutions mountain pass theorem |
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