Journal of Jishou University(Natural Sciences Edition)

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Least Energy Solutions for a Class of Non-Linear Elliptic Equations on the Plane

WANG Qian   

  1. (School of Mathematical Science,Yangzhou University,Yangzhou 225002,Jiangsu China)
  • Online:2019-01-25 Published:2019-01-26


For a class of non-linear elliptic equations on the entire plane,constrained minimization method is used to prove that there exists a least energy solution which is compactly supported and spherically symmetric and decreases with respect to r=|x|.

Key words: semi-linear elliptic equation, least energy solution, sub-linear, compact support

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