SINGULAR POSITIVE RADIAL SOLUTIONS FOR A GENERAL SEMILINEAR ELLIPTIC EQUATION 被引量：2

SINGULAR POSITIVE RADIAL SOLUTIONS FOR A GENERAL SEMILINEAR ELLIPTIC EQUATION

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摘要 The existence and uniqueness of singular solutions decaying like r^-m（see （1.4）） of the equation △u＋k∑i=1ci｜x｜liupi=0,x∈R^N are obtained, wheren≥3, ci 〉0, li〉-2, i=1,2,..,k, pi〉 1, i=l,2,-..,kandthe separation structure of singular solutions decaying like r^-（n-2） of eq. （0.1） are discussed. moreover, we obtain the explicit critical exponent ps （l）（see （1.9））. The existence and uniqueness of singular solutions decaying like r^-m（see （1.4）） of the equation △u＋k∑i=1ci｜x｜liupi=0,x∈R^N are obtained, wheren≥3, ci 〉0, li〉-2, i=1,2,..,k, pi〉 1, i=l,2,-..,kandthe separation structure of singular solutions decaying like r^-（n-2） of eq. （0.1） are discussed. moreover, we obtain the explicit critical exponent ps （l）（see （1.9））.

作者杨芬

机构地区 College of Science

出处《Acta Mathematica Scientia》 SCIE CSCD 2012年第6期2377-2387,共11页 数学物理学报（B辑英文版）

基金 Supported by the Natural Science Foundation of China(10901126)

关键词 singular solution DECAY separation property semilinear elliptic equation singular solution decay separation property semilinear elliptic equation

分类号 O241.82 [理学—计算数学]

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1邓引斌,杨芬.ON THE STABILITY OF THE POSITIVE RADIAL STEADY STATES FOR A SEMILINEAR CAUCHY PROBLEM INVOLVING CRITICAL EXPONENTS[J].Acta Mathematica Scientia,2008,28(2):348-354. 被引量：3
2杨芬,张丹丹.SEPARATION PROPERTY OF POSITIVE RADIAL SOLUTIONS FOR A GENERAL SEMILINEAR ELLIPTIC EQUATION[J].Acta Mathematica Scientia,2011,31(1):181-193. 被引量：3

二级参考文献34

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