| 渐近线性分数阶椭圆型方程解的多重性 |
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| 引用本文： | 贾秀利,王萍,吴林哲.渐近线性分数阶椭圆型方程解的多重性[J].吉林大学学报(理学版),2015,53(5):943-946. |
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| 作者姓名： | 贾秀利 王萍 吴林哲 |
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| 作者单位： | 1. 吉林工商学院 基础部, 长春 130507; 2. 铁岭师范高等专科学校 师范学院, 辽宁 铁岭 112000;3. 吉林大学 数学学院, 长春 130012 |
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| 摘 要： | 考虑有界区域上分数阶椭圆型方程(-Δ)su=f(x,u)在Dirichlet边界条件下解的多重性.应用变分法,在非线性项满足渐近线性增长条件时得到了该问题新的解的多重性结果.
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| 关 键 词： | 多重性 变分法 分数阶Laplace方程 |
| 收稿时间： | 2015-02-02 |
Multiplicity of Solutions for Asymptotically Linear Fractional Elliptic Equations |
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| JIA Xiuli,WANG Ping,WU Linzhe.Multiplicity of Solutions for Asymptotically Linear Fractional Elliptic Equations[J].Journal of Jilin University: Sci Ed,2015,53(5):943-946. |
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| Authors: | JIA Xiuli WANG Ping WU Linzhe |
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| Institution: | 1. Department of Basic Course, Jilin Business and Technology College, Changchun 130507, China;2. Institute of Normal, Tieling Normal College, Tieling 112000, Liaoning Province, China;3. College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | This paper deals with the multiplicity of solutions forsome fractional elliptic equation (-Δ)su=f(x,u) in bounded domainunder Dirichlet boundary condition. Using variational method, we obtained some new multiplicity results of the fractional elliptic equation when the nonlinearity is of asymptotically linear growth. |
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| Keywords: | multiplicity variational method fractional Laplace equation |
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