Artículo
Abstract:
This work is concerned about the existence of solutions to the nonlocal semilinear problem - N J (x - y) (u (y) - u (x)) y + h (u (x)) = f (x) x ω u = g x N ω, (-) R N J(x-y)(u(y)-u(x%)), dy+h (u(x)) = f(x),& ω u=g, x R N ω. verifying that lim x → ω x ω u (x) = + ∞ known in the literature as large solutions. We find out that the relation between the diffusion and the absorption term is not enough to ensure such existence, not even assuming that the boundary datum g blows up close to ω. On the contrary, the role to obtain large solutions is played only by the interior source f, which gives rise to large solutions even without the presence of the absorption. We determine necessary and sufficient conditions on f providing large solutions and compute the blow-up rates of such solutions in terms of h and f. Finally, we also study the uniqueness of large solutions. © 2017 Walter de Gruyter GmbH, Berlin/Boston 2017.
Registro:
| Documento: | Artículo |
| Título: | A Nonlocal Operator Breaking the Keller-Osserman Condition |
| Autor: | Ferreira, R.; Pérez-Llanos, M. |
| Filiación: | Departamento de Matemática Aplicada, Fac. de C.C. Químicas, U. Complutense de Madrid, Madrid, 28040, Spain Instituto de Investigaciones Matemáticas Luis Santaló (IMAS) and CONICET, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria - Pabellón i, Buenos Aires, C1428EGA, Argentina |
| Palabras clave: | Keller-Osserman Condition; Large Solutions; Nonlocal Diffusion |
| Año: | 2017 |
| Volumen: | 17 |
| Número: | 4 |
| Página de inicio: | 715 |
| Página de fin: | 725 |
| DOI: | http://dx.doi.org/10.1515/ans-2016-6011 |
| Título revista: | Advanced Nonlinear Studies |
| Título revista abreviado: | Adv. Nonlinear Stud. |
| ISSN: | 15361365 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15361365_v17_n4_p715_Ferreira |
Referencias:
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Citas:
---------- APA ----------
Ferreira, R. & Pérez-Llanos, M. (2017) . A Nonlocal Operator Breaking the Keller-Osserman Condition. Advanced Nonlinear Studies, 17(4), 715-725.http://dx.doi.org/10.1515/ans-2016-6011
---------- CHICAGO ----------
Ferreira, R., Pérez-Llanos, M. "A Nonlocal Operator Breaking the Keller-Osserman Condition" . Advanced Nonlinear Studies 17, no. 4 (2017) : 715-725.http://dx.doi.org/10.1515/ans-2016-6011
---------- MLA ----------
Ferreira, R., Pérez-Llanos, M. "A Nonlocal Operator Breaking the Keller-Osserman Condition" . Advanced Nonlinear Studies, vol. 17, no. 4, 2017, pp. 715-725.http://dx.doi.org/10.1515/ans-2016-6011
---------- VANCOUVER ----------
Ferreira, R., Pérez-Llanos, M. A Nonlocal Operator Breaking the Keller-Osserman Condition. Adv. Nonlinear Stud. 2017;17(4):715-725.http://dx.doi.org/10.1515/ans-2016-6011
