EXISTENCE OF POSITIVE SOLUTIONS FOR FRACTIONAL LAPLACIAN SYSTEMS WITH CRITICAL GROWTH

被引：0
|
作者：
Correia, Jeziel N. [1 ]
Oliveira, Claudionei P. [2 ]
机构：
[1] Univ Fed Pare, Dept Matemet, BR-68721000 Salinepolis, Brazil
[2] Univ Fed & Sudeste Pare, Fac Matemet, BR-68507590 Marabe, Brazil
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 2022卷 / 79期
关键词：
Fractional Laplacian; concentration-compactness; critical nonlinearity global compactness; GLOBAL COMPACTNESS RESULT; ELLIPTIC-EQUATIONS; GUIDE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we show the existence of positive solution to the nonlocal system (-delta)(s) u + a(x)u = 1/2(s)* H-u (u, v) in R-N, (-delta)(s) u + b(x)v = 1/2(s)* H-v (u, v) in R-N, u, v > 0 in R-N, u, v is an element of D-s,D-2 (R-N). We also prove a global compactness result for the associated energy functional similar to that due to Struwe in [26]. The basic tools are some information from a limit system with a(x) = b(x) = 0, a variant of the Lion's principle of concentration and compactness for fractional systems, and Brouwer degree theory.
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页数：42
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