| 一类双调和方程非平凡解的存在性 |
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| 引用本文： | 曾艳. 一类双调和方程非平凡解的存在性[J]. 韶关学院学报, 2013, 0(8): 5-9 |
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| 作者姓名： | 曾艳 |
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| 作者单位： | 韶关学院数学科学与信息科学学院,广东韶关512005 |
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| 基金项目： | 国家自然科学基金资助项目（11201154）. |
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| 摘 要： | 通过建立一个新的Hilberct空间H,在新的空间中讨论多维临界位势的非线性椭圆型方程,利用山路引理和PS条件,证明了方程非平凡解的存在性.
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| 关 键 词： | 非线性椭圆形方程 临界位势 非平凡解 |
Existence of nontrivial solutions of fourth-order nonlinear elliptic equation with hardy potential |
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| ZENG Yan. Existence of nontrivial solutions of fourth-order nonlinear elliptic equation with hardy potential[J]. Journal of Shaoguan University(Social Science Edition), 2013, 0(8): 5-9 |
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| Authors: | ZENG Yan |
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| Affiliation: | ZENG Yan (College of Mathematics and Information Science, Shaoguan University, Shaoguan 512005, Guangdong, China) |
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| Abstract: | This paper, through the establishment of a new space, discusses the existence of nontrivial solutions of multidimensional nonlinear elliptic equation with Hardy potential in a new Hilbert space.It proves the existence problem of nontrivial solution in this new space by using the Mountain pass theorem with （PS） condition. |
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| Keywords: | nonlinear elliptic equation critical potential nontrivial solutions |
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