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On p-Laplacian reaction-diffusion problems with dynamical boundary conditions in perforated media

Abstract : This paper deals with the homogenization of the p-Laplacian reaction-diffusion problems in a domain containing periodically distributed holes of size ε, with a dynamical boundary condition of pure-reactive type. We generalize our previous results (see [2]) established in the case where the diffusion is modeled by the Laplacian operator, i.e., with p = 2. We prove the convergence of the homogenization process to a nonlinear p-Laplacian reaction-diffusion equation defined on a unified domain without holes with zero Dirichlet boundary condition and with extra terms coming from the influence of the nonlinear dynamical boundary conditions.
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https://hal.archives-ouvertes.fr/hal-02881568
Contributor : María Anguiano <>
Submitted on : Thursday, June 25, 2020 - 7:29:05 PM
Last modification on : Saturday, June 27, 2020 - 3:06:32 AM

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María Anguiano. On p-Laplacian reaction-diffusion problems with dynamical boundary conditions in perforated media. 2020. ⟨hal-02881568⟩

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