Radial solutions of a semilinear elliptic problem
We analyse the set of nonnegative, global, and radial solutions (radial solutions, for short) of the equation -Δu + u(p) = f in R(N), N ≥ 1, where 0 < p < 1, and f element-of L(loc)1(R(N)) is a radial and almost everywhere nonnegative function. We show that radial solutions of (E) exist if f(r...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 1991 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/57715 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/57715 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.9 Equation RN set of nonnegative global and radial solutions Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
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Radial solutions of a semilinear elliptic problemHerrero, Miguel A.Velázquez, J.J. L.517.9EquationRNset of nonnegativeglobal and radial solutionsEcuaciones diferenciales1202.07 Ecuaciones en DiferenciasWe analyse the set of nonnegative, global, and radial solutions (radial solutions, for short) of the equation -Δu + u(p) = f in R(N), N ≥ 1, where 0 < p < 1, and f element-of L(loc)1(R(N)) is a radial and almost everywhere nonnegative function. We show that radial solutions of (E) exist if f(r) = o(r2p/1-p) or if f(r) ≈ cr2p/1-p as r --> ∞, 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 --> ∞.Cambridge University PressUniversidad Complutense de Madrid19911991-01-0119911991-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/57715reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/577152026-06-02T12:44:21Z |
| dc.title.none.fl_str_mv |
Radial solutions of a semilinear elliptic problem |
| title |
Radial solutions of a semilinear elliptic problem |
| spellingShingle |
Radial solutions of a semilinear elliptic problem Herrero, Miguel A. 517.9 Equation RN set of nonnegative global and radial solutions Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| title_short |
Radial solutions of a semilinear elliptic problem |
| title_full |
Radial solutions of a semilinear elliptic problem |
| title_fullStr |
Radial solutions of a semilinear elliptic problem |
| title_full_unstemmed |
Radial solutions of a semilinear elliptic problem |
| title_sort |
Radial solutions of a semilinear elliptic problem |
| dc.creator.none.fl_str_mv |
Herrero, Miguel A. Velázquez, J.J. L. |
| author |
Herrero, Miguel A. |
| author_facet |
Herrero, Miguel A. Velázquez, J.J. L. |
| author_role |
author |
| author2 |
Velázquez, J.J. L. |
| author2_role |
author |
| dc.contributor.none.fl_str_mv |
Universidad Complutense de Madrid |
| dc.subject.none.fl_str_mv |
517.9 Equation RN set of nonnegative global and radial solutions Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| topic |
517.9 Equation RN set of nonnegative global and radial solutions Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| description |
We analyse the set of nonnegative, global, and radial solutions (radial solutions, for short) of the equation -Δu + u(p) = f in R(N), N ≥ 1, where 0 < p < 1, and f element-of L(loc)1(R(N)) is a radial and almost everywhere nonnegative function. We show that radial solutions of (E) exist if f(r) = o(r2p/1-p) or if f(r) ≈ cr2p/1-p as r --> ∞, 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 --> ∞. |
| publishDate |
1991 |
| dc.date.none.fl_str_mv |
1991 1991-01-01 1991 1991-01-01 |
| dc.type.none.fl_str_mv |
journal article http://purl.org/coar/resource_type/c_6501 |
| dc.type.openaire.fl_str_mv |
info:eu-repo/semantics/article |
| format |
article |
| dc.identifier.none.fl_str_mv |
https://hdl.handle.net/20.500.14352/57715 |
| url |
https://hdl.handle.net/20.500.14352/57715 |
| dc.language.none.fl_str_mv |
Inglés eng |
| language_invalid_str_mv |
Inglés |
| language |
eng |
| dc.rights.none.fl_str_mv |
open access http://purl.org/coar/access_right/c_abf2 |
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info:eu-repo/semantics/openAccess |
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open access http://purl.org/coar/access_right/c_abf2 |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.publisher.none.fl_str_mv |
Cambridge University Press |
| publisher.none.fl_str_mv |
Cambridge University Press |
| dc.source.none.fl_str_mv |
reponame:Docta Complutense instname:Universidad Complutense de Madrid (UCM) |
| instname_str |
Universidad Complutense de Madrid (UCM) |
| reponame_str |
Docta Complutense |
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Docta Complutense |
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1869406531074654208 |
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15,228081 |