数学物理学报 ›› 2024, Vol. 44 ›› Issue (2): 453-464.

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混合局部-非局部椭圆方程奇异解的单调性和对称性

代吉永芷,王逸如,黄水波*()   

  1. 西北民族大学数学与计算机科学学院 兰州 730030
  • 收稿日期:2023-04-18 修回日期:2023-07-28 出版日期:2024-04-26 发布日期:2024-04-07
  • 通讯作者: * 黄水波,Email:huangshuibo2008@163.com
  • 基金资助:
    国家自然科学基金(12361026)

Monotonicity and Symmetry of Singular Solutions to Semilinear Mixed Local and Nonlocal Elliptic Equations

Daiji Yongzhi,Wang Yiru,Huang Shuibo*()   

  1. School of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030
  • Received:2023-04-18 Revised:2023-07-28 Online:2024-04-26 Published:2024-04-07
  • Supported by:
    National Natural Science Foundation of China(12361026)

摘要:

该文运用移动平面法研究了一类混合局部-非局部半线性椭圆方程奇异解的单调性和对称性.

关键词: 混合局部-非局部, 椭圆方程, 对称性, 单调性, 移动平面法

Abstract:

In this paper, we establish the monotonicity and symmetry of singular solutions of semilinear mixed local-nonlocal elliptic equations by moving planes method.

Key words: Mixed local-nonlocal, Elliptic equation, Symmetry, Monotonicity, Moving planes method

中图分类号: 

  • O175.25