From local to nonlocal in a diffusion model

Armel Ovono Andami

doi:10.3934/proc.2011.2011.54

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2011, Volume 2011: 54-60. Doi: 10.3934/proc.2011.2011.54 open access

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From local to nonlocal in a diffusion model

Armel Ovono Andami^1,

1.
Université de Picardie Jules Verne, LAMFA, 33 rue Saint Leu, 80039, Amiens

Received: June 30, 2010

Revised: March 31, 2011

Published: August 2017

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Abstract

In this paper we investigate the behaviour of a diusion equation where diusion depends to nonlocal terms. In a radial setting, by regarding bifurcation theory, we prove the existence of local branches of solutions, among them one is the global branch of solutions without bifurcation point.

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Mathematics Subject Classification: Primary: 35J60, 35B30.

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