The Positive Entire Solutions of a Class of Nonlinear Multiple Harmonic Equations △mu=f(|x|,u,|▽u|)
  
Key Words: multiple harmonic equation   positive entire solutionl close convex subest   relative compactness   fixed point theorem.  
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Author NameAffiliation
XU Xing-ye Dept. of Math.
Guangdong Education College
Guangzhou 510310 
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Abstract:
      In this paper, we establish the theorems of existence of positive radially symmtry entire solutions for a class of nonlinear multiple harmonic equations △mu=f(|x|,u,|▽u|) (m≥2) on Rn(n≥3) and present the properties of the solutions. The results of this paper may be regarded as an extension of [1]-[4].
Citation:
DOI:10.3770/j.issn:1000-341X.2000.02.018
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