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Homogenization of the p-Laplacian with nonlinear boundary condition on critical size particles: Identifying the strange term for the some non smooth and multivalued operators

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2016

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Maik Nauka-Interperiodica Publishing
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Díaz Díaz, J. I., Gómez De Castro, A. I., Podol´skii, A. V. & Shaposhnikova, T.A. «Homogenization of the P-Laplacian with Nonlinear Boundary Condition on Critical Size Particles: Identifying the Strange Term for the Some Non Smooth and Multivalued Operators». Doklady Mathematics, vol. 94, n.o 1, julio de 2016, pp. 387-92. DOI.org (Crossref), https://doi.org/10.1134/S1064562416040098.

Abstract

We extend previous papers in the literature concerning the homogenization of Robin type boundary conditions for quasilinear equations, in the case of microscopic obstacles of critical size: here we consider nonlinear boundary conditions involving some maximal monotone graphs which may correspond to discontinuous or non-Lipschitz functions arising in some catalysis problems.

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