| 含临界非线性项的p—双调和方程正解的存在性 |
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| 引用本文： | 薛亚芬. 含临界非线性项的p—双调和方程正解的存在性[J]. 宁夏工学院学报, 1997, 9(3): 4-7 |
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| 作者姓名： | 薛亚芬 |
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| 作者单位： | 宁夏广播电视大学基础部 |
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| 摘 要： | 本文在ｎ维空间中讨论了任一光滑有界区域上带有Ｎａｖｉｅｒ边界条件的非线性ｐ－双调和方程，其中非线性项具有临界增长，我们证明了正解的存在性，将含临界增长的拉普斯方程的相应结果推广到四阶方程的情形。
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| 关 键 词： | 双调和算子 正解 双调和方程 存在性 非线性项 |
Existence Results of Positive Solution for p-Biharmonic Equations with Critical Growth |
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| Xue Yafen. Existence Results of Positive Solution for p-Biharmonic Equations with Critical Growth[J]. , 1997, 9(3): 4-7 |
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| Authors: | Xue Yafen |
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| Affiliation: | Department of Nature Ningxia Broadcast and Television University |
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| Abstract: | P-biharmonic equation involving critical growth with Navier boundary condition is considered on any bounded smooth domain in n-dimensions space in this paper. We give out the existence of positive solutin for the problem, which generalizes corresponding result of Dirichlet problem for Laplacian equation involving criticala growth into the case of fourth order equations. |
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| Keywords: | p-biharmonic operator positive solutions critical exponents |
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