Homogenization of a nonlinear monotone problem in a locally periodic domain via unfolding method

In this paper, the asymptotic behavior of the solutions of a monotone problem posed in a locally periodic oscillating domain is studied. Nonlinear monotone boundary conditions are imposed on the oscillating part of the boundary whereas the Dirichlet condition is considered on the smooth separate par...

Full description

Saved in:
Bibliographic Details
Published inNonlinear analysis: real world applications Vol. 66; p. 103537
Main Authors Aiyappan, Srinivasan, Cardone, Giuseppe, Perugia, Carmen, Prakash, Ravi
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.08.2022
Subjects
Asymptotic analysis
Homogenization
Locally periodic boundary
Monotone operators
Oscillating boundary
Periodic unfolding
Homogenization
Periodic unfolding
Locally periodic boundary
Monotone operators
Asymptotic analysis
Oscillating boundary
Online AccessGet full text

Cover

More Information
Summary:In this paper, the asymptotic behavior of the solutions of a monotone problem posed in a locally periodic oscillating domain is studied. Nonlinear monotone boundary conditions are imposed on the oscillating part of the boundary whereas the Dirichlet condition is considered on the smooth separate part. Using the unfolding method, under natural hypothesis on the regularity of the domain, we prove the weak Lp-convergence of the zero-extended solutions of the nonlinear problem and their flows to the solutions of a limit distributional problem.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2022.103537