Título: | Radial solutions of a semilinear elliptic problem |
Autores: | Herrero, Miguel A. ; Velázquez, J.J. L. |
Tipo de documento: | texto impreso |
Editorial: | Cambridge University Press, 1991-01 |
Dimensiones: | application/pdf |
Nota general: | info:eu-repo/semantics/openAccess |
Idiomas: | |
Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Ecuaciones diferenciales , Tipo = Artículo |
Resumen: | We analyse the set of nonnegative, global, and radial solutions (radial solutions, for short) of the equation -?u + u(p) = f in R(N), N ? 1, where 0 ?, where [GRAPHICS] When f(r) = c*r2p/1-p + h(r) with h(r) = o(r2p/1-p) as r --> ?, radial solutions continue to exist if h(r) is sufficiently small at infinity. Existence, however, breaks down if h(r) > 0, [GRAPHICS] Whenever they exist, radial solutions are characterised in terms of their asymptotic behaviour as r --> ?. |
En línea: | https://eprints.ucm.es/id/eprint/17132/1/Herrero48.pdf |
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