Homogenization of integrals with pointwise gradient constraints via the periodic unfolding method |
| |
| Authors: | Doina Cioranescu Alain Damlamian Riccardo De Arcangelis |
| |
| Institution: | (1) Université Pierre et Marie Curie (Paris VI), Laboratoire Jacques-Louis Lions, 175, rue du Chevaleret, 75013 Paris Cedex 05, France;(2) Université Paris XII – Val de Marne, Centre de Mathématiques, 61, avenue du Général de Gaulle, 94010 Créteil Cedex, France;(3) Università di Napoli Federico II, Dipartimento di Matematica e Applicazioni Renato Caccioppoli, via Cintia, Complesso Monte S. Angelo, 80126 Napoli, Italy |
| |
| Abstract: | Abstract The pointwise gradient constrained homogenization process, for Neumann and Dirichlet type problems, is analyzed by means of
the periodic unfolding method recently introduced in 21]. Classically, the proof of the homogenization formula in presence
of pointwise gradient constraints relies on elaborated measure theoretic arguments. The one proposed here is elementary: it
is based on weak convergence arguments in Lp spaces, coupled with suitable regularization techniques.
Keywords: Homogenization, Gradient constrained problems, Periodic unfolding method
Mathematics Subject Classification (2000): 49J45, 35B27, 74Q05 |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
