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Boundary layer solutions to functional elliptic equations

Chipot, Michel ; Corrêa, Francisco

In: Bulletin of the Brazilian Mathematical Society, New Series, 2009, vol. 40, no. 3, p. 381-393

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    Titre
    • Boundary layer solutions to functional elliptic equations
    Auteur
    • Chipot, Michel. Institute of Mathematics, University of Zürich, Winterthurerstrasse 190, CH-8057, Zürich, Switzerland
    • Corrêa, Francisco. Unidade Acadêmica de Matemática e Estatística Centro de Ciências e Tecnologia, Universidade Federal de Campina Grande, 58109-970, Campina Grande, PB, Brazil
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Bulletin of the Brazilian Mathematical Society, New Series, 2009, vol. 40, no. 3, p. 381-393. Springer-Verlag
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:316898
    Summary
    The goal of this paper is to study a class of nonlinear functional elliptic equations using very simple comparison principles. We first construct a nontrivial solution and then study its asymptotic behaviour when the diffusion coefficient goes to 0