$H$-Convergence Result for Nonlocal Elliptic-Type Problems via Tartar's Method

DOI10.1137/16M1080215zbMath1372.35329arXiv1605.09243MaRDI QIDQ5274918

Antonella Ritorto, Julián Fernández Bonder, Ariel Martin Salort

Publication date: 7 July 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.09243

zbMATH Keywords

homogenizationfractional partial differential equations\(p\)-Laplacian-type equations

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (16)

Periodic homogenization for weakly elliptic Hamilton-Jacobi-Bellman equations with critical fractional diffusion ⋮ Optimal design problems governed by the nonlocal \(p\)-Laplacian equation ⋮ Space-charge polarization by confined ion migration in microstructured solid dielectrics ⋮ Optimal partition problems for the fractional Laplacian ⋮ The Galerkin-Fourier method for the study of nonlocal parabolic equations ⋮ Nonlocal Control in the Conduction Coefficients: Well-Posedness and Convergence to the Local Limit ⋮ Asymptotic Analysis of a Coupled System of Nonlocal Equations with Oscillatory Coefficients ⋮ A simple characterization of \(H\)-convergence for a class of nonlocal problems ⋮ Periodic homogenization of a Lévy-type process with small jumps ⋮ Gamma convergence and asymptotic behavior for eigenvalues of nonlocal problems ⋮ Cauchy problem and periodic homogenization for nonlocal Hamilton–Jacobi equations with coercive gradient terms ⋮ Local and nonlocal optimal control in the source ⋮ Homogenization of Lévy-type Operators with Oscillating Coefficients ⋮ Generalized Ponce's inequality ⋮ Unnamed Item ⋮ Homogenization of Symmetric Stable-like Processes in Stationary Ergodic Media

Cites Work

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