| sliding方法研究一类分数阶Choquard型方程正解的单调性 |
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| 引用本文： | 张婉晴 马飞遥. sliding方法研究一类分数阶Choquard型方程正解的单调性[J]. 宁波大学学报(理工版), 2023, 0(2): 90-94 |
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| 作者姓名： | 张婉晴 马飞遥 |
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| 作者单位： | 宁波大学 数学与统计学院, 浙江 宁波 315211 |
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| 基金项目： | 国家自然科学基金（11971251）；;浙江省自然科学基金（LY20A010010）； |
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| 摘 要： | 对含分数阶Laplace算子的一类Choquard型方程的De Giorgi型边值问题进行了研究,运用sliding方法得到了方程正解在整个空间上的单调性.
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| 关 键 词： | 分数阶Laplace算子 Choquard方程 sliding方法 解的单调性 |
Sliding method study on monotonism of positive solutions of a class of fractional Choquard type equations |
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| ZHANG Wanqing,MA Feiyao. Sliding method study on monotonism of positive solutions of a class of fractional Choquard type equations[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 2023, 0(2): 90-94 |
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| Authors: | ZHANG Wanqing MA Feiyao |
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| Affiliation: | School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China |
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| Abstract: | In this paper, we study the De Giorgi type boundary value problem for a Choquard type equation with fractional Laplace operator. We employ the sliding method to establish monotonicity of the positive solutions of the equation. |
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| Keywords: | fractional Laplace operator Choquard equation sliding method monotonicity |
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