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

被引：2
作者：
Huang, Xia [1 ,2 ]
Ye, Dong [3 ]
机构：
[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
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 260卷 / 08期
关键词：
Polyharmonic equation; Entire stable solution; CONSTANT Q-CURVATURE; DELTA-U; CLASSIFICATION; R-2M;
D O I：
10.1016/j.jde.2016.01.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
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页码：6493 / 6503
页数：11
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