Existence of stable solutions to (-Δ)mu = eu in RN with m ≥ 3 and N > 2m

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:260

Article

Huang, Xia^1,2  Ye, Dong³ 

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[2] E China Normal Univ, Ctr Partial Differential Equat, Shanghai 200062, Peoples R China

[3] Univ Lorraine, Dept Math, UMR 7502, IECL, Bat A, F-57045 Metz, France

关键词: Polyharmonic equation;    Entire stable solution;   

DOI  :  10.1016/j.jde.2016.01.001

来源: Elsevier

【 摘 要 】

We consider the polyharmonic equation (-Delta)(m)u = e(u) in R-N with m >= 3 and N > 2m. We prove the existence of many entire stable solutions. This answers some questions raised by Farina and Ferrero in [7]. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free