Finite Morse index solutions of the Henon Lane-Emden equation

被引：1
|
作者：
Harrabi, Abdellaziz [1 ,2 ]
Zaidi, Cherif [3 ]
机构：
[1] Northern Borders Univ, Math Dept, Ar Ar, Saudi Arabia
[2] Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
[3] Univ Sfax, Fac Sci, Dept Math, Sfax, Tunisia
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 01期
关键词：
Liouville-type theorem; Stable or finite Morse index solutions; Monotonicity formula; Blowing down sequence; LIOUVILLE-TYPE THEOREMS; ELLIPTIC-EQUATIONS; STABLE-SOLUTIONS;
D O I：
10.1186/s13660-019-2234-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with Liouville-type theorems of the Henon Lane-Emden triharmonic equations in whole space. We prove Liouville-type theorems for solutions belonging to one of the following classes: stable solutions and finite Morse index solutions (whether positive or sign-changing). Our proof is based on a combination of the Pohozaev-type identity, monotonicity formula of solutions and a blowing down sequence.
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页数：29
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