ASYMPTOTIC BEHAVIOR OF POSITIVE SOLUTIONS TO SEMILINEAR ELLIPTIC EQUATIONS IN ℝ^{n}

- Journal title : Journal of the Korean Mathematical Society
- Volume 48, Issue 2, 2011, pp.431-447
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2011.48.2.431

Title & Authors

ASYMPTOTIC BEHAVIOR OF POSITIVE SOLUTIONS TO SEMILINEAR ELLIPTIC EQUATIONS IN ℝ^{n}

Lai, Baishun; Luo, Qing; Zhou, Shuqing;

Lai, Baishun; Luo, Qing; Zhou, Shuqing;

Abstract

We investigate the asymptotic behavior of positive solutions to the elliptic equation (0.1) in . We obtain a conclusion that, for n 3, -2 < < 0 and q > p > 1, any positive radial solution to (0.1) has the following properties: and always exist if < p < q, , . In addition, we prove that the singular positive solution of (0.1) is unique under some conditions.

Keywords

semilinear elliptic equation;positive solutions;asymptotic behavior;singular solutions;

Language

English

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