García-Melián, J. - Rossi, J.D.

En:

Commun. Pure Appl. Anal. 2009;8(6):2037-2053

Fecha:

2009

Formato:

application/pdf

Tipo de documento:

info:eu-repo/semantics/article
info:ar-repo/semantics/artículo
info:eu-repo/semantics/publishedVersion

Descriptores:

Logistic problems - Nonlocal diffusion

Descripción:

In this work we consider the nonlocal stationary nonlinear problem (J * u)(x) - u(x) = -λu(x) + a(x)up(x) in a domain Ω, with the Dirichlet boundary condition u(x) = 0 in ℝN Ω and p > 1. The kernel J involved in the convolution (J * u)(x) = ∫ℝN J(x - y)u(y) dy is a smooth, compactly supported nonnegative function with unit integral, while the weight a(x) is assumed to be nonnegative and is allowed to vanish in a smooth subdomain Ω0 of Ω. Both when a(x) is positive and when it vanishes in a subdomain, we completely discuss the issues of existence and uniqueness of positive solutions, as well as their behavior with respect to the parameter λ.
Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.

Identificador(es):

http://hdl.handle.net/20.500.12110/paper_15340392_v8_n6_p2037_GarciaMelian

Derechos:

info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar

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Cita bibliográfica:

García-Melián, J. (2009). A logistic equation with refuge and nonlocal diffusion (info:eu-repo/semantics/article). [consultado: ] Disponible en el Repositorio Digital Institucional de la Universidad de Buenos Aires: <http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&cl=CL1&d=paper_15340392_v8_n6_p2037_GarciaMelian_oai>