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Applicable Analysis
An International Journal
Volume 83, 2004 - Issue 7
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Original Articles

A one-dimensional variational problem with gradient constraint

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Pages 747-756 | Received 20 Oct 2003, Published online: 15 Aug 2006

References

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  • Carbone , L , Cioranescu , D , de Arcangelis , R and Gaudiello , A . 2002 . Homogenization of unbounded functionals and nonlinear elastomers. The general case . Asymptot. Anal. , 29 ( 3–4 ) : 221 – 272 .
  • Carbone L de Arcangelis R 2002 Unbounded functionals in the Calculus of variations. Representation, relaxation and homogenization. Monographs and Surveys in Pure and Applied Mathematics 125 Chapman & Hall/CRC Boca Raton
  • Carbone , L and Salerno , S . 1984/85 . Further results on a problem of homogenization with constraints on the gradient . J. Analyse Math. , 44 : 1 – 20 .
  • Cardone G Corbo Esposito A Yosifian GA Zhikov VV Homogenization of some problems with gradient constraints Asymptot. Anal. (to appear)
  • Fusco , N . 1979 . One-dimensional Γ-convergence . Boll. Un. Mat. Ital. B (5) , 16 ( 1 ) : 74 – 86 .
  • Jikov (Zhikov) VV Kozlov SM Oleinik OA 1994 Homogenization of Differential Operators and Integral Functionals, Springer-Verlag Berlin

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