| 一类四阶非线性椭圆型问题解的存在性 |
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| 引用本文： | 缪清. 一类四阶非线性椭圆型问题解的存在性[J]. 云南民族大学学报(自然科学版), 2013, 22(4): 270-274 |
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| 作者姓名： | 缪清 |
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| 作者单位： | 云南民族大学数学与计算机科学学院,云南昆明,650500 |
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| 摘 要： | 研究了一类四阶非线性椭圆型超线性边值问题,对任意的参数λ,应用山路定理得到了问题存在非平凡解.
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| 关 键 词： | 临界点 山路定理 四阶非线性椭圆型方程 |
Superlinear problems concerning the fourth-order nonlinear elliptic equation |
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| MIAO Qing. Superlinear problems concerning the fourth-order nonlinear elliptic equation[J]. Journal of Yunnan Nationalities University:Natural Sciences Edition, 2013, 22(4): 270-274 |
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| Authors: | MIAO Qing |
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| Affiliation: | MIAO Qing(School of Mathematics and Computer Science,Yunnan University of Nationalities,Kunming 650500,China) |
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| Abstract: | Some superlinear boundary value problems concerning the fourth-order elliptic equation are discussed.The existence of nontrivial solution is established by using the mountain pass theorem for every parameter λ. |
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| Keywords: | critical point mountain pass theorem fourth-order nonlinear elliptic equation |
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