@article{10902/16601,
year = {2017},
month = {11},
url = {http://hdl.handle.net/10902/16601},
abstract = {We address homogenization problems of variational inequalities for the p-Laplace operator in a domain of Rn (n ? 3, p ? [2, n)) periodically perforated by balls of radius O(??) where ? > 1 and ? is the size of the period. The perforations are distributed along a (n ? 1)-dimensional manifold ? , and we impose constraints for solutions and their fluxes (associated with the p-Laplacian) on the boundary of the perforations. These constraints imply that the solution is positive and that the flux is bounded from above by a negative, nonlinear monotonic function of the solution multiplied by a parameter ? ?? , ? ? R and ? is a small parameter that we shall make to go to zero. We analyze different relations between the parameters p, n, ?, ? and ?, and obtain homogenized problems which are completely new in the literature even for the case p = 2.},
organization = {This work has been partially supported by the Spanish grant MINECO:MTM2013-44883-P.},
publisher = {Springer},
publisher = {Applied Mathematics & Optimization 2017, 1-19},
title = {Homogenization of Variational Inequalities for the p-Laplace Operator in Perforated Media Along Manifolds},
author = {Gómez Gandarillas, Delfina and Pérez Martínez, María Eugenia and Podolskii, A. V. and Shaposhnikova, T. A.},
}