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.

Graça Carita

CIMA-UE, Dep. de Matemática, Universidade de Évora, Rua Romão 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

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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. https://doi.org/10.68381/jca18067

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Published by Heldermann Verlag, 2011. Rights now held by Banach Press.