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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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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J. Diaz

Complutense de Madrid. Inst. Mat. Interdisciplinar & Dep. Mat. Aplicada. Fac. Mat. Plaza de las Ciencias n3

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Email: jidiaz@ucm.es
西班牙, 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
西班牙, Madrid, 28040

A. Podol’skii

Faculty of Mechanics and Mathematics

Email: jidiaz@ucm.es
俄罗斯联邦, Moscow, 19992

T. Shaposhnikova

Faculty of Mechanics and Mathematics

Email: jidiaz@ucm.es
俄罗斯联邦, Moscow, 19992

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