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

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

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 2016 Spain, United Kingdom English Publisher:Pleiades Publishing LtdJournal:Doklady Mathematics, volume 94, pages 387-392 (issn: 1064-5624, eissn: 1531-8362,

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Authors: Diaz, JI; Gomez-Castro, D; Podol'skii, AV; Shaposhnikova, TA;

doi: 10.1134/s1064562416040098

handle: 10261/186173

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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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.

The research of the first two authors was partially supported as members of the Research Group MOMAT (Ref. 910480) of the UCM. The research of J.I. Diaz was partially supported by the project ref. MTM 2014-57113 of the DGISPI (Spain). The research of D. Gómez-Castro was supported by a FPU Grant from the Ministerio de Educación, Cultura y Deporte (Spain).

Countries

Spain, United Kingdom

Related Organizations

Spanish National Research Council
Spain
University of Oxford
United Kingdom
Lomonosov Moscow State University
Russian Federation
Complutense University of Madrid
Spain

Keywords

Nonlinear boundary value problems for nonlinear elliptic equations, Quasilinear elliptic equations, Robin-type boundary conditions, quasilinear equations

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