| R^4中含Hardy位势临界参数的非线性双调和方程 |
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| 引用本文： | 王峰,李光迎.R^4中含Hardy位势临界参数的非线性双调和方程[J].周口师范学院学报,2011,28(5). |
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| 作者姓名： | 王峰 李光迎 |
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| 作者单位： | 1. 盐城机电高等职业技术学院,江苏盐城,224005
2. 东南大学数学系,江苏南京,210018 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 通过建立一个新的Hilbert空间H，应用嵌入定理和喷泉定理得到了R^4中一类含Hardy位势临界参数的非线性双调和方程在该空间中无穷多个解的存在性．
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| 关 键 词： | Hardy位势 双调和方程 特征值问题 |
Nonlinear biharmonic equations in R^4 with hardy potential and critical parameter |
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| WANG Feng,LI Guangying.Nonlinear biharmonic equations in R^4 with hardy potential and critical parameter[J].Journal of Zhoukou Normal University,2011,28(5). |
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| Authors: | WANG Feng LI Guangying |
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| Institution: | WANG Feng1,LI Guangying2(1.Department of Mathematics,Yancheng College of Mechatronic Technology,Yancheng 224005,China,2.Department of Mathematics,Southeast University,Nanjing 210018,China) |
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| Abstract: | Through the establishment of a new Hilbert space H, we obtained the existence of multi-solution to a nonlinear biharmonic equation in R^4 with Hardy potential and critical parameter in the space by using the embedding theorem and fountain theorem. |
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| Keywords: | Hardy potential biharmonic equation eigenvalue problem |
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