Asymptotic behavior of the least-energy solutions of a semilinear elliptic equation with the Hardy-Sobolev critical exponent

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:262

Article

Hashizume, Masato¹ 

[1] Osaka City Univ, Grad Sch Sci, Dept Math, 3-3-138 Sugimoto Sumiyoshi Ku, Osaka, Osaka 5588585, Japan

关键词: Asymptotic behavior;    Boundary singularity;    Hardy-Sobolev inequality;    Minimization problem;   

DOI  :  10.1016/j.jde.2016.11.005

来源: Elsevier

【 摘 要 】

We investigate the existence, the non-existence and the asymptotic behavior of the least-energy solutions of a semilinear elliptic equation with the Hardy-Sobolev critical exponent. In the boundary singularity case, it is known that the mean curvature of the boundary at origin plays a crucial role on the existence of the least-energy solutions. In this paper, we study the relation between the asymptotic behavior of the solutions and the mean curvature at origin. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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