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Segregated solutions for a critical elliptic system with a small interspecies repulsive force

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成果类型:
期刊论文
作者:
Chen, Haixia;Medina, Maria;Pistoia, Angela
作者机构:
[Chen, Haixia] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Medina, Maria] Univ Autonoma Madrid, Dept Matemat, Ciudad Univ Cantoblanco, Madrid 28049, Spain.
[Pistoia, Angela] Sapienza Univ Roma, Dipartimento Sci Base & Applicate Ingn, Via Scarpa 16, I-00161 Rome, Italy.
语种:
英文
关键词:
Elliptic systems;Critical growth;Segregated solutions;Blow-up solutions
期刊:
Journal of Functional Analysis
ISSN:
0022-1236
年:
2023
卷:
284
期:
10
页码:
109882
机构署名:
本校为第一机构
院系归属:
数学与统计学学院
摘要:
We consider the elliptic system -Delta u(i) = u(i)(3)+ Sigma(q+1)(j=1 j not equal i) beta(ij)u(i)u(j)(2) in R-4, i = 1, ..., q + 1, when alpha := beta(ij) and beta := beta(i(q+1)) = beta((q+1)j) for any i, j = 1, ... , q. If beta < 0 and |beta| is small enough we build solutions such that each component u(1), . . . , u(q) blows-up at the vertices of q polygons placed in different great circles which are linked to each other, and the last component u(q+1) looks like the radial positive solution of the single equation. (c) 2023 The Author(s). Published by Elsevier Inc. This is an open access art...

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