sliding方法研究一类分数阶Choquard型方程正解的单调性
PDF下载 (192)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),2023,36(2):90-94.DOI:
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 & Engineering Edition),2023,36(2):90-94.DOI:
| Title: | Sliding method study on monotonism of positive solutions of a class of fractional Choquard type equations |
| 作者: | 张婉晴, 马飞遥* |
| Author(s): | ZHANG Wanqing, MA Feiyao* |
| 关键词: | 分数阶Laplace算子; Choquard方程; sliding方法; 解的单调性 |
| Keywords: | fractional Laplace operator; Choquard equation; sliding method; monotonicity |
| 分类号: | O175.25 |
| 文献标识码: | A |
| 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. |
| 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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| 备注/Memo: | 收稿日期: 2022－07－15. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/ 基金项目: 国家自然科学基金（11971251）; 浙江省自然科学基金（LY20A010010）. 第一作者: 张婉晴（1998－）, 女, 安徽芜湖人, 在读硕士研究生, 主要研究方向: 偏微分方程. E-mail: 2539405430@qq.com *通信作者: 马飞遥（1979－）, 男, 湖南衡阳人, 博士/副教授, 主要研究方向: 偏微分方程. E-mail: mafeiyao@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
