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
- Authors: Diaz J.I.1, Gómez-Castro D.1, Podol’skii A.V.2, Shaposhnikova T.A.2
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Affiliations:
- Complutense de Madrid. Inst. Mat. Interdisciplinar & Dep. Mat. Aplicada. Fac. Mat. Plaza de las Ciencias n3
- Faculty of Mechanics and Mathematics
- Issue: Vol 94, No 1 (2016)
- Pages: 387-392
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223971
- DOI: https://doi.org/10.1134/S1064562416040098
- ID: 223971
Cite item
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.
About the authors
J. I. Diaz
Complutense de Madrid. Inst. Mat. Interdisciplinar & Dep. Mat. Aplicada. Fac. Mat. Plaza de las Ciencias n3
Author for correspondence.
Email: jidiaz@ucm.es
Spain, Madrid, 28040
D. Gómez-Castro
Complutense de Madrid. Inst. Mat. Interdisciplinar & Dep. Mat. Aplicada. Fac. Mat. Plaza de las Ciencias n3
Email: jidiaz@ucm.es
Spain, Madrid, 28040
A. V. Podol’skii
Faculty of Mechanics and Mathematics
Email: jidiaz@ucm.es
Russian Federation, Moscow, 19992
T. A. Shaposhnikova
Faculty of Mechanics and Mathematics
Email: jidiaz@ucm.es
Russian Federation, Moscow, 19992