Acta mathematica scientia,Series A ›› 2003, Vol. 23 ›› Issue (2): 175-182.

• Articles • Previous Articles     Next Articles

The Positive Entire Solutions for a Class Nonlinear Polyharmonic Equations with Singular on R^2

XU Xing-Ye   

  1. 广东教育学院数学系 广州 510310
  • Online:2003-04-25 Published:2003-04-25
  • Supported by:

    广东高校自然科学研究基金资助

Abstract:

In this paper, author's aim is to establish the theorems of  existence  of positive radially symmetric entire solutions for a class singular nonlinear  polyharmonic on R^2  with the Schaudertychonoff fixed point theorem as  the principal ,and presents about the properties of the solutions. It enrichs and develops  the theory and apply of paper [1][4]

Key words: Polyharmonic equation;Positive entire solution;Lebesgue dominated covergence theorem;Equicontinuity;Fixed point theorem

CLC Number: 

  • 35J
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