An Homogenization Result in W^(1,p) × L^(q)

Graca Carita; Ana Margarida Ribeiro; Elvira Zappale

Abstract

An integral representation result is provided for the Γ-limit of integral functionals arising in homogenization problems for the study of coherent thermochemical equilibria in multiphase solids.

Author information

Contact details are reproduced from the original publication and may be historical.

Graca Carita

CIMA-UE, Dep. de Matemática, Universidade de Évora, Rua Romao Ramalho 59, 7000 671 Évora, Portugal

gcarita@uevora.pt

Ana Margarida Ribeiro

Dep. de Matemática and CMA, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, 2829-516 Caparica, Portugal

amfr@fct.unl.pt

Elvira Zappale

D.I.I.M.A., Università degli Studi di Salerno, Via Ponte Don Melillo, 84084 Fisciano (SA), Italy

ezappale@unisa.it

Keywords

Homogenization
Gamma-convergence
quasiconvexity-convexity
relaxation

Mathematics Subject Classification

49J45, 74Q05

Suggested citation

G. Carita, A. M. Ribeiro, E. Zappale. “An Homogenization Result in W^(1,p) × L^(q).” Journal of Convex Analysis 18 (2011), No. 4, 1093–1126.