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半空间上积分方程组正解的对称性、正则性和连续性(英文)

The symmetry,regularityand continuityfor positive solutions of integral equations on half space
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摘要 研究半空间上积分方程组的正解,指出正解关于某条平行于xn轴的直线是旋转对称的,并给出正则性和连续性的结果. In this paper, positive solutions of some system of integral equations on half space are studied. The results show that the positive solutions are rotationally symmetric about some line parallel to xn-axis. The regularity and continuity of positive solutions are also studied.
作者 陈武 程春霞
出处 《江苏师范大学学报(自然科学版)》 CAS 2015年第3期47-52,共6页 Journal of Jiangsu Normal University:Natural Science Edition
基金 The Postgraduate Innovation Project of Jiangsu Normal University(2014YZD009)
关键词 动平面方法 旋转对称 正则性提升 moving plane methods rotational symmetric regularity lifting
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参考文献3

  • 1Li Dongyan,Zhuo Ran. An integral equation on half space[J]. Proc Amer Math Soc,2010,138(8) :2779.
  • 2Li Dongyan,Zhuo Ran. A system of integral equations on half space[J]. J Math Anal Appl,2011,381(1) :392.
  • 3Chen Wu. Symmetry and regularity of positive solutions to some system associated with Bessel potentials[J]. J JiangsuNorm Univ:Nat Sci Ed,2014,32(2) :35.

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