| 一类非线性四阶椭圆方程的高能量解(英文) |
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| 引用本文： | 尹玉玲,吴鲜,金家华,刘云涛.一类非线性四阶椭圆方程的高能量解(英文)[J].云南师范大学学报(自然科学版),2010,30(4):18-22,27. |
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| 作者姓名： | 尹玉玲 吴鲜 金家华 刘云涛 |
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| 作者单位： | 云南师范大学数学学院,昆明,650092 |
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| 摘 要： | 研究了一类非线性四阶椭圆方程Δ2u-Δu+V(x)u=f(x,u)in RN,u∈H2(RN)(1.1)无穷多高能量解的存在性。我们主要利用了喷泉定理来找解。
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| 关 键 词： | 高能量解 喷泉定理 Sobolev嵌入 P-S条件 |
High Energy Solutions for a Nonlinear Fourth-order Elliptic Equations |
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| YIN Yu-ling,WU Xian,JIN Jia-hua,LIU Yun-tao.High Energy Solutions for a Nonlinear Fourth-order Elliptic Equations[J].Journal of Yunnan Normal University (Natural Sciences Edition),2010,30(4):18-22,27. |
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| Authors: | YIN Yu-ling WU Xian JIN Jia-hua LIU Yun-tao |
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| Abstract: | In this paper, we study the existence of infinitely many large energy solutions for the nonlinear fourth-order elliptic equations{Δ2 u-Δu+V(x)u=f(x,u) in RN,u∈H2(RN)(1.1)We use the Fountain Theorem to find solutions. |
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| Keywords: | large energy solutions the Fountain Theorem Sobolev's embedding Palais-Smale condition |
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