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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 6: Analysis and Approximation of Microstructure Models
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Original Articles

Homogenization of a quasilinear elliptic problem with nonlinear Robin boundary conditions

Bituin Cabarrubias Institute of Mathematics, University of the Philippines Diliman, 1101 Diliman, Quezon City, Philippines; Laboratoire de Mathématiques Raphaël Salem, University of Rouen, UMR CNRS 6085, Avenue de l'Université, 76801 Saint Etienne de, Rouvray, France
&
Patrizia Donato Laboratoire de Mathématiques Raphaël Salem, University of Rouen, UMR CNRS 6085, Avenue de l'Université, 76801 Saint Etienne de, Rouvray, FranceCorrespondence[email protected]
Pages 1111-1127 | Received 02 Jun 2011, Accepted 24 Aug 2011, Published online: 06 Oct 2011

Citations (21)

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Read on this site (3)

Jemmalyn Grace H. Santiago & Bituin C. Cabarrubias. (2023) Homogenization of a quasilinear problem with semilinear terms in a two-component domain. Applicable Analysis 102:14, pages 3886-3908.
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Jake Avila & Bituin Cabarrubias. (2022) Homogenization of a quasilinear elliptic problem in domains with small holes. Applicable Analysis 101:15, pages 5193-5212.
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Bituin Cabarrubias. (2016) Homogenization of optimal control problems in perforated domains via periodic unfolding method. Applicable Analysis 95:11, pages 2517-2534.
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Articles from other publishers (18)

Youssef Hajji & Hassane Hjiaj. (2023) A class of quasilinear and noncoercive elliptic problem in a two-component domain with $$L^{1}$$ data. Advances in Operator Theory 8:3.
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Federica Raimondi. (2023) Homogenization of a class of singular elliptic problems in two-component domains. Asymptotic Analysis 132:1-2, pages 1-27.
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Patrizia Donato, Rheadel Fulgencio & Olivier Guibé. (2021) Homogenization of a quasilinear elliptic problem in a two-component domain with L1 data. Annali di Matematica Pura ed Applicata (1923 -) 201:3, pages 1097-1137.
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Hamid Haddadou. (2021) H-convergence of a class of quasilinear equations in perforated domains beyond periodic setting. Arabian Journal of Mathematics 10:1, pages 91-101.
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Nicolae Cîndea, Andaluzia Matei, Sorin Micu & Constantin Niţă. (2020) Boundary optimal control for antiplane contact problems with power-law friction. Applied Mathematics and Computation 386, pages 125448.
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Vo Anh Khoa, Ekeoma Rowland Ijioma & Nguyen Nhu Ngoc. (2020) Strong convergence of a linearization method for semi-linear elliptic equations with variable scaled production. Computational and Applied Mathematics 39:4.
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Patrizia Donato & Rheadel Fulgencio. (2020) Some properties of an elliptic periodic problem with an interfacial resistance. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 100:12.
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María Anguiano. (2019) Existence, Uniqueness and Homogenization of Nonlinear Parabolic Problems with Dynamical Boundary Conditions in Perforated Media. Mediterranean Journal of Mathematics 17:1.
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Massimo Lanza de Cristoforis & Paolo Musolino. (2019) Asymptotic Behaviour of the Energy Integral of a Two-Parameter Homogenization Problem with Nonlinear Periodic Robin Boundary Conditions. Proceedings of the Edinburgh Mathematical Society 62:4, pages 985-1016.
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E. Ya. Khruslov & L. O. Khilkova. (2019) Model of Stationary Diffusion with Absorption In Domains With Fine-Grained Random Boundaries. Ukrainian Mathematical Journal 71:5, pages 792-807.
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Patrizia Donato, Olivier Guibé & Alip Oropeza. (2018) Homogenization of quasilinear elliptic problems with nonlinear Robin conditions and L1 data. Journal de Mathématiques Pures et Appliquées 120, pages 91-129.
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Patrizia Donato, Sara Monsurrò & Federica Raimondi. (2018) Homogenization of a class of singular elliptic problems in perforated domains. Nonlinear Analysis 173, pages 180-208.
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Massimo Lanza de Cristoforis & Paolo Musolino. (2017) Two-parameter homogenization for a nonlinear periodic Robin problem for the Poisson equation: a functional analytic approach. Revista Matemática Complutense 31:1, pages 63-110.
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Olivier GUIBÉ & Alip OROPEZA. (2017) Renormalized solutions of elliptic equations with Robin boundary conditions. Acta Mathematica Scientia 37:4, pages 889-910.
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Imen Chourabi & Patrizia Donato. (2016) Homogenization of elliptic problems with quadratic growth and nonhomogenous Robin conditions in perforated domains. Chinese Annals of Mathematics, Series B 37:6, pages 833-852.
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Patrizia Donato & Kim Hang Le Nguyen. (2015) Homogenization of diffusion problems with a nonlinear interfacial resistance. Nonlinear Differential Equations and Applications NoDEA 22:5, pages 1345-1380.
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D. Gómez, M. Lobo, M. E. Pérez, T. A. Shaposhnikova & M. N. Zubova. (2015) On critical parameters in homogenization of perforated domains by thin tubes with nonlinear flux and related spectral problems. Mathematical Methods in the Applied Sciences 38:12, pages 2606-2629.
Crossref
D. Gómez, M. Lobo, M. E. Pérez, T. A. Shaposhnikova & M. N. Zubova. 2015. Integral Methods in Science and Engineering. Integral Methods in Science and Engineering 267 289 .

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