Artículo
Existence and uniqueness of positive large solutions to some cooperative elliptic systems
Autor/es | García Melián, Jorge José
Suárez Fernández, Antonio |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2003-05 |
Fecha de depósito | 2016-12-01 |
Publicado en |
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Resumen | In this work we consider positive solutions to cooperative elliptic systems of the form −∆u = λu−u2 +buv, −∆v = µv −v2 +cuv in a bounded smooth domain Ω ⊂ RN (λ, µ ∈ R, b, c > 0) which blow up on the boundary ∂Ω, that is ... In this work we consider positive solutions to cooperative elliptic systems of the form −∆u = λu−u2 +buv, −∆v = µv −v2 +cuv in a bounded smooth domain Ω ⊂ RN (λ, µ ∈ R, b, c > 0) which blow up on the boundary ∂Ω, that is u(x), v(x) → +∞ as dist(x, ∂Ω) → 0. We show existence and nonexistence of solutions, and give sufficient conditions for uniqueness. We also provide an exact estimate of the behaviour of the solutions near the boundary in terms of dist(x, ∂Ω). |
Agencias financiadoras | Ministerio de Ciencia y Tecnología (MCYT). España |
Identificador del proyecto | BFM2000-0797
BFM2001-3894 |
Cita | García Melián, J.J. y Suárez Fernández, A. (2003). Existence and uniqueness of positive large solutions to some cooperative elliptic systems. Advanced Nonlinear Studies, 3 (2), 193-206. |
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