SINGULAR POSITIVE RADIAL SOLUTIONS FOR A GENERAL SEMILINEAR ELLIPTIC EQUATION

被引：3

作者：

Fen, Yang ^{[1
]}

机构：

[1] Wuhan Univ Sci & Technol, Coll Sci, Wuhan 430081, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 06期

关键词：

singular solution; decay; separation property; semilinear elliptic equation; ASYMPTOTIC-BEHAVIOR; INFINITE MULTIPLICITY; SEPARATION STRUCTURE; CAUCHY-PROBLEM; STEADY-STATES; EXISTENCE; STABILITY; PROPERTY;

D O I：

10.1016/S0252-9602(12)60186-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence and uniqueness of singular solutions decaying like r(-m) (see (1.4)) of the equation Delta u + Sigma(k)(i=1) c(i)vertical bar x vertical bar(li)u(pi) = 0, x is an element of R-n (0.1) are obtained, where n >= 3, c(i) > 0, > l(i) > -2, i = 1, 2, ... , k, p(i) > 1, i = 1, 2, ... , k and the separation structure of singular solutions decaying like r(-(n-2)) of eq. (0.1) are discussed. moreover, we obtain the explicit critical exponent p(s)(l) (see (1.9)).

引用

页码：2377 / 2387

页数：11

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