| 非局部分数阶椭圆型方程在主特征值附近解的多重性 |
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| 引用本文： | 姚娟,郭灵钟,索洪敏.非局部分数阶椭圆型方程在主特征值附近解的多重性[J].铜仁学院学报,2014(4):163-166. |
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| 作者姓名： | 姚娟 郭灵钟 索洪敏 |
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| 作者单位： | 贵州民族大学理学院,贵州贵阳550025 |
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| 基金项目： | 本文系贵州省科学技术基金（黔科合J字[201312141号、黔科合J字LKM[2011131号）,贵州民族大学2013年科研项目成果. |
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| 摘 要： | 利用山路引理、Ekeland 变分原理及鞍点定理，得到了一类非局部分数阶椭圆型方程在主特征值附近解的多重性。
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| 关 键 词： | 非局部分数阶椭圆型方程 山路引理 Ekeland 变分原理 主特征值 多重性 |
Multiple Solutions for Non-local Fractional Elliptic Equation near Resonance With Principal Eigenvalue |
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| YAO Juan,GUO Ling-zhong,SUO Hong-min.Multiple Solutions for Non-local Fractional Elliptic Equation near Resonance With Principal Eigenvalue[J].Journal of Tongren University,2014(4):163-166. |
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| Authors: | YAO Juan GUO Ling-zhong SUO Hong-min |
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| Institution: | ( School of Science, Guizhou Minzu University, Guiyang, Guizhou 550025, China ) |
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| Abstract: | In this paper we concerned ourselves with non-local fractional elliptic equation based on using Mountain Pass theorem, Ekeland Variation principle and Saddle Point theorem. We gain an existence and multiple solutions for this equation near resonance with principal eigenvalue. |
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| Keywords: | non-local Fractional Elliptic Equation Mountain Pass theorem Ekeland variation principle principal eigenvalue multiplicity |
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