ON FINITE MORSE INDEX SOLUTIONS OF HIGHER ORDER FRACTIONAL LANE-EMDEN EQUATIONS

被引：31
|
作者：
Fazly, Mostafa [1 ]
Wei, Juncheng
机构：
[1] Univ Texas San Antonio, Dept Math, San Antonio, TX 78249 USA
来源：
AMERICAN JOURNAL OF MATHEMATICS | 2017年 / 139卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
R-N; CLASSIFICATION; LAPLACIAN;
D O I：
10.1353/ajm.2017.0011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We classify finite Morse index solutions of the following nonlocal Lane-Emden equation (-Delta)(s)u = vertical bar u vertical bar(p-1)u R-n for 1 < s < 2 via a novel monotonicity formula. For local cases s = 1 and s = 2 this classification was provided by Farina in 2007 and Davila, Dupaigne, Wang, and Wei in 2014, respectively. Moreover, for the nonlocal case 0 < s < 1 finite Morse index solutions are classified by Davila, Dupaigne, and Wei in their 2014 preprint.
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页码：433 / 460
页数：28
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