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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.)

A CLASSICAL APPROACH FOR THE p-LAPLACIAN IN OSCILLATING THIN DOMAINS

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Author(s):
Nakasato, Jean Carlos [1] ; Pereira, Marcone Correa [2]
Total Authors: 2
Affiliation:
[1] Univ Zagreb, Fac Sci, Dept Math, Zagreb - Croatia
[2] Univ Sao Paulo, Dept Matemat Aplicada, IME, Rua Matao 1010, Sao Paulo, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 58, n. 1, p. 209-231, SEP 2021.
Web of Science Citations: 0
Abstract

In this work we study the asymptotic behavior of solutions to the p-Laplacian equation posed in a 2-dimensional open set which degenerates into a line segment when a positive parameter epsilon goes to zero (a thin domain perturbation). Also, we notice that oscillatory behavior on the upper boundary of the region is allowed. Combining methods from classic homogenization theory and monotone operators we obtain the homogenized equation proving convergence of the solutions and establishing a corrector function which guarantees strong convergence in W-1,W-p for 1 < p < +infinity. (AU)

FAPESP's process: 20/04813-0 - Asymptotic and qualitative analysis of integro-differential equations
Grantee:Marcone Corrêa Pereira
Support Opportunities: Regular Research Grants