Asymptotic behavior for elliptic problems with singular coefficient and nearly critical Sobolev growth期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Asymptotic behavior for elliptic problems with singular coefficient and nearly critical Sobolev growth

Authors:	Daomin Cao Shuangjie Peng

Affiliation:	(1) Institute of Applied Mathematics, AMSS, Chinese Academy of Sciences, Beijing, 100080, People’s Republic of China;(2) School of Mathematics and Statistics, Central China Normal University Wuhan, 430079, People’s Republic of China

Abstract:	Let be a ball centered at the origin with radius R. We investigate the asymptotic behavior of positive solutions for the Dirichlet problem $-Delta u=frac{mu u}{\|x\|^2}+u^{2^-1-varepsilon}, u > 0$ in on ∂B_R when ɛ→⁺ for suitable positive numbers μ Mathematics Subject Classification (2000)* 35J60, 35B33

Keywords:	Asymptotic behavior Singularity Critical Sobolev Hardy exponents
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