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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Concentrated reaction terms on the boundary of rough domains for a quasilinear equation

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Author(s):
Nogueira, Ariadne [1] ; Nakasato, Jean Carlos [1] ; Pereira, Marcone Correa [1]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat Aplicada, Rua Matao 1010, Sao Paulo, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Applied Mathematics Letters; v. 102, APR 2020.
Web of Science Citations: 0
Abstract

In this work we analyze the solutions of a p-Laplacian equation with homogeneous Neumann boundary conditions set in a family of rough domains with a nonlinear term concentrated on the boundary. At the limit, we get a nonlinear boundary condition capturing the oscillatory geometry of the strip where the reactions take place. (C) 2019 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 17/02630-2 - Asymptotic analysis in differential and integral equations
Grantee:Marcone Corrêa Pereira
Support Opportunities: Regular Research Grants