Segregated solutions for a critical elliptic system with a small interspecies repulsive force
We consider the elliptic system −Δui = u3 i + q +1 j=1 j=i βijuiu2 j in R4, i = 1,...,q + 1, when α := βij and β := βi(q+1) = β(q+1)j for any i, j = 1, ..., q. If β < 0 and |β| is small enough we build solutions such that each component u1, ..., uq blows-up at the vertices of q polygons placed in...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Recursos: | Universidad Autónoma de Madrid |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uam.es:10486/706925 |
| Acesso em linha: | http://hdl.handle.net/10486/706925 https://dx.doi.org/10.1016/j.jfa.2023.109882 |
| Access Level: | acceso abierto |
| Palavra-chave: | Blow-up solutions Critical growth Elliptic systems Segregated solutions Matemáticas |
| Resumo: | We consider the elliptic system −Δui = u3 i + q +1 j=1 j=i βijuiu2 j in R4, i = 1,...,q + 1, when α := βij and β := βi(q+1) = β(q+1)j for any i, j = 1, ..., q. If β < 0 and |β| is small enough we build solutions such that each component u1, ..., uq blows-up at the vertices of q polygons placed in different great circles which are linked to each other, and the last component uq+1 looks like the radial positive solution of the single equation |
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