| 一类分数阶椭圆型方程的非平凡解 |
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| 引用本文： | 张申贵.一类分数阶椭圆型方程的非平凡解[J].吉林大学学报(理学版),2018,56(4):786-792. |
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| 作者姓名： | 张申贵 |
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| 作者单位： | 西北民族大学 数学与计算机科学学院, 兰州 730030 |
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| 摘 要： | 用临界点理论和变分方法, 考虑一类具有超线性非线性项和非局部系数的分数阶椭圆型方程, 在Ambrosetti Rabinowitz型超线性条件不满足的情形下, 获得了该类问题非平凡解的存在性结果.
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| 关 键 词： | 临界点 非平凡解 分数阶椭圆型方程 |
| 收稿时间： | 2017-11-06 |
Nontrivial Solutions for a Class of Fractional Elliptic Equation |
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| ZHANG Shengui.Nontrivial Solutions for a Class of Fractional Elliptic Equation[J].Journal of Jilin University: Sci Ed,2018,56(4):786-792. |
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| Authors: | ZHANG Shengui |
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| Institution: | School of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, China |
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| Abstract: | The author considered a class of fractional elliptic equation with superlinear nonlinearity and nonlocal coefficient by using critical point theory and variational method. Some results for existence of nontrivial solutions of this kind of problem were obtained without the Ambrosetti Rabinowitz’s superlinear condition. |
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| Keywords: | critical point nontrivial solution fractional elliptic equation |
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