Two-parameter homogenization for a nonlinear periodic Robin problem for the Poisson equation: a functional analytic approach

Massimo Lanza de Cristoforis, Paolo Musolino

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

4 Dyfyniadau (Scopus)
191 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

We consider a nonlinear Robin problem for the Poisson equation in an unbounded periodically perforated domain. The domain has a periodic structure, and the size of each cell is determined by a positive parameter δδ . The relative size of each periodic perforation is instead determined by a positive parameter ϵϵ . We prove the existence of a family of solutions which depends on ϵϵ and δδ and we analyze the behavior of such a family as (ϵ,δ)(ϵ,δ) tends to (0, 0) by an approach which is alternative to that of asymptotic expansions and of classical homogenization theory.
Iaith wreiddiolSaesneg
Tudalennau (o-i)63-110
CyfnodolynRevista Matemática Complutense
Cyfrol31
Rhif cyhoeddi1
Dyddiad ar-lein cynnar09 Medi 2017
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 01 Ion 2018

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