@article{10902/26346,
year = {2022},
month = {12},
url = {https://hdl.handle.net/10902/26346},
abstract = {ABSTRACT: We consider a homogenization problem for the Laplace operator posed in a bounded domain of the upper halfspace, a part of its boundary being in contact with the plane {x3 = 0}. On this part, the boundary conditions alternate from Neumann to nonlinear-Robin, being of Dirichlet type outside. The nonlinear-Robin boundary conditions are imposed on small regions periodically placed along the plane and contain a Robin parameter that can be very large. We provide all the possible homogenized problems, depending on the relations between the three parameters: period ε, size of the small regions rε and Robin parameter β(ε). In particular, we address the convergence, as ε tends to zero, of the solutions for the critical size of the small regions rε = O(ε2). For certain β(ε), a nonlinear capacity term arises in the strange term which depends on the macroscopic variable and allows us to extend the usual capacity definition to semilinear boundary conditions.},
organization = {Supported by Grant PGC2018-098178-BBI00 funded by MCIN/AEI/ 10.13039/501100011033 and by “ERDF A way of making Europe”. Open Access funding provided thanks to the CRUE-CSIC agreement with Springer
Nature.},
publisher = {Springer},
publisher = {Zeitschrift fur Angewandte Mathematik und Physik 2022, 73(6), 234},
title = {Boundary homogenization with large reaction terms on a strainer-type wall},
author = {Gómez Gandarillas, Delfina and Pérez Martínez, María Eugenia},
}